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Finding the Third Proportional to 157,368 and 249,567

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Solution

The third proportional to 157,368 and 249,567 is: 395,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,368 : 249,567 = 249,567 : x
  2. Step 2: Convert to fraction form
    157,368/249,567 = 249,567/x
  3. Step 3: Cross multiply
    157,368x = 249,567 × 249,567
  4. Step 4: Simplify right side
    157,368x = 62,283,687,489
  5. Step 5: Solve for x
    x = 62,283,687,489/157,368
  6. Step 6: Final answer
    x = 395,783.69

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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.