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Finding the Third Proportional to 234,044 and 353,127

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Solution

The third proportional to 234,044 and 353,127 is: 532,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,044 : 353,127 = 353,127 : x
  2. Step 2: Convert to fraction form
    234,044/353,127 = 353,127/x
  3. Step 3: Cross multiply
    234,044x = 353,127 × 353,127
  4. Step 4: Simplify right side
    234,044x = 124,698,678,129
  5. Step 5: Solve for x
    x = 124,698,678,129/234,044
  6. Step 6: Final answer
    x = 532,800.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.