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Finding the Third Proportional to 157,364 and 249,561

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Solution

The third proportional to 157,364 and 249,561 is: 395,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,364 : 249,561 = 249,561 : x
  2. Step 2: Convert to fraction form
    157,364/249,561 = 249,561/x
  3. Step 3: Cross multiply
    157,364x = 249,561 × 249,561
  4. Step 4: Simplify right side
    157,364x = 62,280,692,721
  5. Step 5: Solve for x
    x = 62,280,692,721/157,364
  6. Step 6: Final answer
    x = 395,774.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.