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Finding the Third Proportional to 153,576 and 232,510.50

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Solution

The third proportional to 153,576 and 232,510.50 is: 352,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,576 : 232,510.50 = 232,510.50 : x
  2. Step 2: Convert to fraction form
    153,576/232,510.50 = 232,510.50/x
  3. Step 3: Cross multiply
    153,576x = 232,510.50 × 232,510.50
  4. Step 4: Simplify right side
    153,576x = 54,061,132,610.25
  5. Step 5: Solve for x
    x = 54,061,132,610.25/153,576
  6. Step 6: Final answer
    x = 352,015.50

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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.