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Finding the Third Proportional to 113,835.38 and 249,449.63

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Solution

The third proportional to 113,835.38 and 249,449.63 is: 546,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,835.38 : 249,449.63 = 249,449.63 : x
  2. Step 2: Convert to fraction form
    113,835.38/249,449.63 = 249,449.63/x
  3. Step 3: Cross multiply
    113,835.38x = 249,449.63 × 249,449.63
  4. Step 4: Simplify right side
    113,835.38x = 62,225,115,412.64
  5. Step 5: Solve for x
    x = 62,225,115,412.64/113,835.38
  6. Step 6: Final answer
    x = 546,623.71

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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.