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Finding the Third Proportional to 140,192.25 and 307,526.25

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Solution

The third proportional to 140,192.25 and 307,526.25 is: 674,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,192.25 : 307,526.25 = 307,526.25 : x
  2. Step 2: Convert to fraction form
    140,192.25/307,526.25 = 307,526.25/x
  3. Step 3: Cross multiply
    140,192.25x = 307,526.25 × 307,526.25
  4. Step 4: Simplify right side
    140,192.25x = 94,572,394,439.06
  5. Step 5: Solve for x
    x = 94,572,394,439.06/140,192.25
  6. Step 6: Final answer
    x = 674,590.75

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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.