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Finding the Third Proportional to 155,142 and 334,032

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Solution

The third proportional to 155,142 and 334,032 is: 719,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,142 : 334,032 = 334,032 : x
  2. Step 2: Convert to fraction form
    155,142/334,032 = 334,032/x
  3. Step 3: Cross multiply
    155,142x = 334,032 × 334,032
  4. Step 4: Simplify right side
    155,142x = 111,577,377,024
  5. Step 5: Solve for x
    x = 111,577,377,024/155,142
  6. Step 6: Final answer
    x = 719,195.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.