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Finding the Third Proportional to 176,506 and 386,706

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Solution

The third proportional to 176,506 and 386,706 is: 847,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,506 : 386,706 = 386,706 : x
  2. Step 2: Convert to fraction form
    176,506/386,706 = 386,706/x
  3. Step 3: Cross multiply
    176,506x = 386,706 × 386,706
  4. Step 4: Simplify right side
    176,506x = 149,541,530,436
  5. Step 5: Solve for x
    x = 149,541,530,436/176,506
  6. Step 6: Final answer
    x = 847,231.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.