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Finding the Third Proportional to 193,547 and 284,607

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Solution

The third proportional to 193,547 and 284,607 is: 418,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,547 : 284,607 = 284,607 : x
  2. Step 2: Convert to fraction form
    193,547/284,607 = 284,607/x
  3. Step 3: Cross multiply
    193,547x = 284,607 × 284,607
  4. Step 4: Simplify right side
    193,547x = 81,001,144,449
  5. Step 5: Solve for x
    x = 81,001,144,449/193,547
  6. Step 6: Final answer
    x = 418,508.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.