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Finding the Third Proportional to 136,407 and 296,425.50

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Solution

The third proportional to 136,407 and 296,425.50 is: 644,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,407 : 296,425.50 = 296,425.50 : x
  2. Step 2: Convert to fraction form
    136,407/296,425.50 = 296,425.50/x
  3. Step 3: Cross multiply
    136,407x = 296,425.50 × 296,425.50
  4. Step 4: Simplify right side
    136,407x = 87,868,077,050.25
  5. Step 5: Solve for x
    x = 87,868,077,050.25/136,407
  6. Step 6: Final answer
    x = 644,161.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.