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Finding the Third Proportional to 114,098 and 254,430.75

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Solution

The third proportional to 114,098 and 254,430.75 is: 567,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,098 : 254,430.75 = 254,430.75 : x
  2. Step 2: Convert to fraction form
    114,098/254,430.75 = 254,430.75/x
  3. Step 3: Cross multiply
    114,098x = 254,430.75 × 254,430.75
  4. Step 4: Simplify right side
    114,098x = 64,735,006,545.56
  5. Step 5: Solve for x
    x = 64,735,006,545.56/114,098
  6. Step 6: Final answer
    x = 567,363.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.