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Finding the Third Proportional to 82,897 and 177,428

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Solution

The third proportional to 82,897 and 177,428 is: 379,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,897 : 177,428 = 177,428 : x
  2. Step 2: Convert to fraction form
    82,897/177,428 = 177,428/x
  3. Step 3: Cross multiply
    82,897x = 177,428 × 177,428
  4. Step 4: Simplify right side
    82,897x = 31,480,695,184
  5. Step 5: Solve for x
    x = 31,480,695,184/82,897
  6. Step 6: Final answer
    x = 379,756.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.