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Finding the Third Proportional to 108,360 and 235,471.50

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Solution

The third proportional to 108,360 and 235,471.50 is: 511,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,360 : 235,471.50 = 235,471.50 : x
  2. Step 2: Convert to fraction form
    108,360/235,471.50 = 235,471.50/x
  3. Step 3: Cross multiply
    108,360x = 235,471.50 × 235,471.50
  4. Step 4: Simplify right side
    108,360x = 55,446,827,312.25
  5. Step 5: Solve for x
    x = 55,446,827,312.25/108,360
  6. Step 6: Final answer
    x = 511,690.91

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Why These Related Problems?

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