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Finding the Third Proportional to 192,332 and 418,527

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Solution

The third proportional to 192,332 and 418,527 is: 910,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,332 : 418,527 = 418,527 : x
  2. Step 2: Convert to fraction form
    192,332/418,527 = 418,527/x
  3. Step 3: Cross multiply
    192,332x = 418,527 × 418,527
  4. Step 4: Simplify right side
    192,332x = 175,164,849,729
  5. Step 5: Solve for x
    x = 175,164,849,729/192,332
  6. Step 6: Final answer
    x = 910,742.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.