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Finding the Third Proportional to 107,407.50 and 235,471.50

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Solution

The third proportional to 107,407.50 and 235,471.50 is: 516,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,407.50 : 235,471.50 = 235,471.50 : x
  2. Step 2: Convert to fraction form
    107,407.50/235,471.50 = 235,471.50/x
  3. Step 3: Cross multiply
    107,407.50x = 235,471.50 × 235,471.50
  4. Step 4: Simplify right side
    107,407.50x = 55,446,827,312.25
  5. Step 5: Solve for x
    x = 55,446,827,312.25/107,407.50
  6. Step 6: Final answer
    x = 516,228.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.