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Finding the Third Proportional to 154,700 and 329,632

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Solution

The third proportional to 154,700 and 329,632 is: 702,373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,700 : 329,632 = 329,632 : x
  2. Step 2: Convert to fraction form
    154,700/329,632 = 329,632/x
  3. Step 3: Cross multiply
    154,700x = 329,632 × 329,632
  4. Step 4: Simplify right side
    154,700x = 108,657,255,424
  5. Step 5: Solve for x
    x = 108,657,255,424/154,700
  6. Step 6: Final answer
    x = 702,373.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.