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Finding the Third Proportional to 149,298.19 and 312,432.19

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Solution

The third proportional to 149,298.19 and 312,432.19 is: 653,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,298.19 : 312,432.19 = 312,432.19 : x
  2. Step 2: Convert to fraction form
    149,298.19/312,432.19 = 312,432.19/x
  3. Step 3: Cross multiply
    149,298.19x = 312,432.19 × 312,432.19
  4. Step 4: Simplify right side
    149,298.19x = 97,613,871,786.04
  5. Step 5: Solve for x
    x = 97,613,871,786.04/149,298.19
  6. Step 6: Final answer
    x = 653,818.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.