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Finding the Third Proportional to 178,840 and 385,784

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Solution

The third proportional to 178,840 and 385,784 is: 832,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,840 : 385,784 = 385,784 : x
  2. Step 2: Convert to fraction form
    178,840/385,784 = 385,784/x
  3. Step 3: Cross multiply
    178,840x = 385,784 × 385,784
  4. Step 4: Simplify right side
    178,840x = 148,829,294,656
  5. Step 5: Solve for x
    x = 148,829,294,656/178,840
  6. Step 6: Final answer
    x = 832,192.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.