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Finding the Third Proportional to 148,526.06 and 320,726.25

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Solution

The third proportional to 148,526.06 and 320,726.25 is: 692,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,526.06 : 320,726.25 = 320,726.25 : x
  2. Step 2: Convert to fraction form
    148,526.06/320,726.25 = 320,726.25/x
  3. Step 3: Cross multiply
    148,526.06x = 320,726.25 × 320,726.25
  4. Step 4: Simplify right side
    148,526.06x = 102,865,327,439.06
  5. Step 5: Solve for x
    x = 102,865,327,439.06/148,526.06
  6. Step 6: Final answer
    x = 692,574.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.