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Finding the Third Proportional to 255,161 and 375,359.50

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Solution

The third proportional to 255,161 and 375,359.50 is: 552,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,161 : 375,359.50 = 375,359.50 : x
  2. Step 2: Convert to fraction form
    255,161/375,359.50 = 375,359.50/x
  3. Step 3: Cross multiply
    255,161x = 375,359.50 × 375,359.50
  4. Step 4: Simplify right side
    255,161x = 140,894,754,240.25
  5. Step 5: Solve for x
    x = 140,894,754,240.25/255,161
  6. Step 6: Final answer
    x = 552,179.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.