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Finding the Third Proportional to 136,416 and 291,784

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Solution

The third proportional to 136,416 and 291,784 is: 624,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,416 : 291,784 = 291,784 : x
  2. Step 2: Convert to fraction form
    136,416/291,784 = 291,784/x
  3. Step 3: Cross multiply
    136,416x = 291,784 × 291,784
  4. Step 4: Simplify right side
    136,416x = 85,137,902,656
  5. Step 5: Solve for x
    x = 85,137,902,656/136,416
  6. Step 6: Final answer
    x = 624,104.96

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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.