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Finding the Third Proportional to 292,214 and 437,142

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Solution

The third proportional to 292,214 and 437,142 is: 653,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,214 : 437,142 = 437,142 : x
  2. Step 2: Convert to fraction form
    292,214/437,142 = 437,142/x
  3. Step 3: Cross multiply
    292,214x = 437,142 × 437,142
  4. Step 4: Simplify right side
    292,214x = 191,093,128,164
  5. Step 5: Solve for x
    x = 191,093,128,164/292,214
  6. Step 6: Final answer
    x = 653,949.26

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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.