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Finding the Third Proportional to 153,573.75 and 232,506

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Solution

The third proportional to 153,573.75 and 232,506 is: 352,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,573.75 : 232,506 = 232,506 : x
  2. Step 2: Convert to fraction form
    153,573.75/232,506 = 232,506/x
  3. Step 3: Cross multiply
    153,573.75x = 232,506 × 232,506
  4. Step 4: Simplify right side
    153,573.75x = 54,059,040,036
  5. Step 5: Solve for x
    x = 54,059,040,036/153,573.75
  6. Step 6: Final answer
    x = 352,007.03

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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.