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Finding the Third Proportional to 148,510.13 and 325,519.59

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Solution

The third proportional to 148,510.13 and 325,519.59 is: 713,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,510.13 : 325,519.59 = 325,519.59 : x
  2. Step 2: Convert to fraction form
    148,510.13/325,519.59 = 325,519.59/x
  3. Step 3: Cross multiply
    148,510.13x = 325,519.59 × 325,519.59
  4. Step 4: Simplify right side
    148,510.13x = 105,963,005,915.17
  5. Step 5: Solve for x
    x = 105,963,005,915.17/148,510.13
  6. Step 6: Final answer
    x = 713,506.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.