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Finding the Third Proportional to 108,524 and 232,622.50

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Solution

The third proportional to 108,524 and 232,622.50 is: 498,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,524 : 232,622.50 = 232,622.50 : x
  2. Step 2: Convert to fraction form
    108,524/232,622.50 = 232,622.50/x
  3. Step 3: Cross multiply
    108,524x = 232,622.50 × 232,622.50
  4. Step 4: Simplify right side
    108,524x = 54,113,227,506.25
  5. Step 5: Solve for x
    x = 54,113,227,506.25/108,524
  6. Step 6: Final answer
    x = 498,629.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.