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Finding the Third Proportional to 159,712 and 349,233

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Solution

The third proportional to 159,712 and 349,233 is: 763,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,712 : 349,233 = 349,233 : x
  2. Step 2: Convert to fraction form
    159,712/349,233 = 349,233/x
  3. Step 3: Cross multiply
    159,712x = 349,233 × 349,233
  4. Step 4: Simplify right side
    159,712x = 121,963,688,289
  5. Step 5: Solve for x
    x = 121,963,688,289/159,712
  6. Step 6: Final answer
    x = 763,647.62

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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.