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Finding the Third Proportional to 153,607.50 and 232,557.75

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Solution

The third proportional to 153,607.50 and 232,557.75 is: 352,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,607.50 : 232,557.75 = 232,557.75 : x
  2. Step 2: Convert to fraction form
    153,607.50/232,557.75 = 232,557.75/x
  3. Step 3: Cross multiply
    153,607.50x = 232,557.75 × 232,557.75
  4. Step 4: Simplify right side
    153,607.50x = 54,083,107,085.06
  5. Step 5: Solve for x
    x = 54,083,107,085.06/153,607.50
  6. Step 6: Final answer
    x = 352,086.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.