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Finding the Third Proportional to 153,007.50 and 252,854.25

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Solution

The third proportional to 153,007.50 and 252,854.25 is: 417,857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,007.50 : 252,854.25 = 252,854.25 : x
  2. Step 2: Convert to fraction form
    153,007.50/252,854.25 = 252,854.25/x
  3. Step 3: Cross multiply
    153,007.50x = 252,854.25 × 252,854.25
  4. Step 4: Simplify right side
    153,007.50x = 63,935,271,743.06
  5. Step 5: Solve for x
    x = 63,935,271,743.06/153,007.50
  6. Step 6: Final answer
    x = 417,857.11

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.