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Finding the Third Proportional to 230,051 and 349,217

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Solution

The third proportional to 230,051 and 349,217 is: 530,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,051 : 349,217 = 349,217 : x
  2. Step 2: Convert to fraction form
    230,051/349,217 = 349,217/x
  3. Step 3: Cross multiply
    230,051x = 349,217 × 349,217
  4. Step 4: Simplify right side
    230,051x = 121,952,513,089
  5. Step 5: Solve for x
    x = 121,952,513,089/230,051
  6. Step 6: Final answer
    x = 530,110.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.