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Finding the Third Proportional to 185,607 and 289,500.75

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Solution

The third proportional to 185,607 and 289,500.75 is: 451,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,607 : 289,500.75 = 289,500.75 : x
  2. Step 2: Convert to fraction form
    185,607/289,500.75 = 289,500.75/x
  3. Step 3: Cross multiply
    185,607x = 289,500.75 × 289,500.75
  4. Step 4: Simplify right side
    185,607x = 83,810,684,250.56
  5. Step 5: Solve for x
    x = 83,810,684,250.56/185,607
  6. Step 6: Final answer
    x = 451,549.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.