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Finding the Third Proportional to 157,373 and 249,575

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Solution

The third proportional to 157,373 and 249,575 is: 395,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,373 : 249,575 = 249,575 : x
  2. Step 2: Convert to fraction form
    157,373/249,575 = 249,575/x
  3. Step 3: Cross multiply
    157,373x = 249,575 × 249,575
  4. Step 4: Simplify right side
    157,373x = 62,287,680,625
  5. Step 5: Solve for x
    x = 62,287,680,625/157,373
  6. Step 6: Final answer
    x = 395,796.49

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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.