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Finding the Third Proportional to 131,387 and 200,362

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Solution

The third proportional to 131,387 and 200,362 is: 305,547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,387 : 200,362 = 200,362 : x
  2. Step 2: Convert to fraction form
    131,387/200,362 = 200,362/x
  3. Step 3: Cross multiply
    131,387x = 200,362 × 200,362
  4. Step 4: Simplify right side
    131,387x = 40,144,931,044
  5. Step 5: Solve for x
    x = 40,144,931,044/131,387
  6. Step 6: Final answer
    x = 305,547.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.