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Finding the Third Proportional to 292,221 and 439,188.75

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Solution

The third proportional to 292,221 and 439,188.75 is: 660,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,221 : 439,188.75 = 439,188.75 : x
  2. Step 2: Convert to fraction form
    292,221/439,188.75 = 439,188.75/x
  3. Step 3: Cross multiply
    292,221x = 439,188.75 × 439,188.75
  4. Step 4: Simplify right side
    292,221x = 192,886,758,126.56
  5. Step 5: Solve for x
    x = 192,886,758,126.56/292,221
  6. Step 6: Final answer
    x = 660,071.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.