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Finding the Third Proportional to 147,346 and 234,331

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Solution

The third proportional to 147,346 and 234,331 is: 372,667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,346 : 234,331 = 234,331 : x
  2. Step 2: Convert to fraction form
    147,346/234,331 = 234,331/x
  3. Step 3: Cross multiply
    147,346x = 234,331 × 234,331
  4. Step 4: Simplify right side
    147,346x = 54,911,017,561
  5. Step 5: Solve for x
    x = 54,911,017,561/147,346
  6. Step 6: Final answer
    x = 372,667.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.