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Finding the Third Proportional to 113,942 and 249,338

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Solution

The third proportional to 113,942 and 249,338 is: 545,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,942 : 249,338 = 249,338 : x
  2. Step 2: Convert to fraction form
    113,942/249,338 = 249,338/x
  3. Step 3: Cross multiply
    113,942x = 249,338 × 249,338
  4. Step 4: Simplify right side
    113,942x = 62,169,438,244
  5. Step 5: Solve for x
    x = 62,169,438,244/113,942
  6. Step 6: Final answer
    x = 545,623.55

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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.