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Finding the Third Proportional to 113,924.81 and 249,294.38

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Solution

The third proportional to 113,924.81 and 249,294.38 is: 545,514.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,924.81 : 249,294.38 = 249,294.38 : x
  2. Step 2: Convert to fraction form
    113,924.81/249,294.38 = 249,294.38/x
  3. Step 3: Cross multiply
    113,924.81x = 249,294.38 × 249,294.38
  4. Step 4: Simplify right side
    113,924.81x = 62,147,685,406.64
  5. Step 5: Solve for x
    x = 62,147,685,406.64/113,924.81
  6. Step 6: Final answer
    x = 545,514.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.