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Finding the Third Proportional to 169,000 and 357,008

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Solution

The third proportional to 169,000 and 357,008 is: 754,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,000 : 357,008 = 357,008 : x
  2. Step 2: Convert to fraction form
    169,000/357,008 = 357,008/x
  3. Step 3: Cross multiply
    169,000x = 357,008 × 357,008
  4. Step 4: Simplify right side
    169,000x = 127,454,712,064
  5. Step 5: Solve for x
    x = 127,454,712,064/169,000
  6. Step 6: Final answer
    x = 754,169.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.