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Finding the Third Proportional to 148,152 and 325,952

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Solution

The third proportional to 148,152 and 325,952 is: 717,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,152 : 325,952 = 325,952 : x
  2. Step 2: Convert to fraction form
    148,152/325,952 = 325,952/x
  3. Step 3: Cross multiply
    148,152x = 325,952 × 325,952
  4. Step 4: Simplify right side
    148,152x = 106,244,706,304
  5. Step 5: Solve for x
    x = 106,244,706,304/148,152
  6. Step 6: Final answer
    x = 717,133.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.