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Finding the Third Proportional to 250,603.50 and 387,775.50

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Solution

The third proportional to 250,603.50 and 387,775.50 is: 600,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,603.50 : 387,775.50 = 387,775.50 : x
  2. Step 2: Convert to fraction form
    250,603.50/387,775.50 = 387,775.50/x
  3. Step 3: Cross multiply
    250,603.50x = 387,775.50 × 387,775.50
  4. Step 4: Simplify right side
    250,603.50x = 150,369,838,400.25
  5. Step 5: Solve for x
    x = 150,369,838,400.25/250,603.50
  6. Step 6: Final answer
    x = 600,030.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.