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Finding the Third Proportional to 187,150.50 and 289,750.50

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Solution

The third proportional to 187,150.50 and 289,750.50 is: 448,598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,150.50 : 289,750.50 = 289,750.50 : x
  2. Step 2: Convert to fraction form
    187,150.50/289,750.50 = 289,750.50/x
  3. Step 3: Cross multiply
    187,150.50x = 289,750.50 × 289,750.50
  4. Step 4: Simplify right side
    187,150.50x = 83,955,352,250.25
  5. Step 5: Solve for x
    x = 83,955,352,250.25/187,150.50
  6. Step 6: Final answer
    x = 448,598.07

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Why These Related Problems?

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