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Finding the Third Proportional to 136,376 and 297,535

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Solution

The third proportional to 136,376 and 297,535 is: 649,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,376 : 297,535 = 297,535 : x
  2. Step 2: Convert to fraction form
    136,376/297,535 = 297,535/x
  3. Step 3: Cross multiply
    136,376x = 297,535 × 297,535
  4. Step 4: Simplify right side
    136,376x = 88,527,076,225
  5. Step 5: Solve for x
    x = 88,527,076,225/136,376
  6. Step 6: Final answer
    x = 649,139.70

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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.