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Finding the Third Proportional to 138,784 and 297,246

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Solution

The third proportional to 138,784 and 297,246 is: 636,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,784 : 297,246 = 297,246 : x
  2. Step 2: Convert to fraction form
    138,784/297,246 = 297,246/x
  3. Step 3: Cross multiply
    138,784x = 297,246 × 297,246
  4. Step 4: Simplify right side
    138,784x = 88,355,184,516
  5. Step 5: Solve for x
    x = 88,355,184,516/138,784
  6. Step 6: Final answer
    x = 636,638.12

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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.