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Finding the Third Proportional to 113,801 and 249,371

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Solution

The third proportional to 113,801 and 249,371 is: 546,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,801 : 249,371 = 249,371 : x
  2. Step 2: Convert to fraction form
    113,801/249,371 = 249,371/x
  3. Step 3: Cross multiply
    113,801x = 249,371 × 249,371
  4. Step 4: Simplify right side
    113,801x = 62,185,895,641
  5. Step 5: Solve for x
    x = 62,185,895,641/113,801
  6. Step 6: Final answer
    x = 546,444.19

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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.