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Finding the Third Proportional to 184,432 and 292,776

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Solution

The third proportional to 184,432 and 292,776 is: 464,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,432 : 292,776 = 292,776 : x
  2. Step 2: Convert to fraction form
    184,432/292,776 = 292,776/x
  3. Step 3: Cross multiply
    184,432x = 292,776 × 292,776
  4. Step 4: Simplify right side
    184,432x = 85,717,786,176
  5. Step 5: Solve for x
    x = 85,717,786,176/184,432
  6. Step 6: Final answer
    x = 464,766.34

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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.