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Finding the Third Proportional to 185,725.50 and 307,287

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Solution

The third proportional to 185,725.50 and 307,287 is: 508,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,725.50 : 307,287 = 307,287 : x
  2. Step 2: Convert to fraction form
    185,725.50/307,287 = 307,287/x
  3. Step 3: Cross multiply
    185,725.50x = 307,287 × 307,287
  4. Step 4: Simplify right side
    185,725.50x = 94,425,300,369
  5. Step 5: Solve for x
    x = 94,425,300,369/185,725.50
  6. Step 6: Final answer
    x = 508,413.22

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