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Finding the Third Proportional to 157,051 and 344,008

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Solution

The third proportional to 157,051 and 344,008 is: 753,522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,051 : 344,008 = 344,008 : x
  2. Step 2: Convert to fraction form
    157,051/344,008 = 344,008/x
  3. Step 3: Cross multiply
    157,051x = 344,008 × 344,008
  4. Step 4: Simplify right side
    157,051x = 118,341,504,064
  5. Step 5: Solve for x
    x = 118,341,504,064/157,051
  6. Step 6: Final answer
    x = 753,522.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.