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Finding the Third Proportional to 187,402 and 406,156

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Solution

The third proportional to 187,402 and 406,156 is: 880,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,402 : 406,156 = 406,156 : x
  2. Step 2: Convert to fraction form
    187,402/406,156 = 406,156/x
  3. Step 3: Cross multiply
    187,402x = 406,156 × 406,156
  4. Step 4: Simplify right side
    187,402x = 164,962,696,336
  5. Step 5: Solve for x
    x = 164,962,696,336/187,402
  6. Step 6: Final answer
    x = 880,261.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.