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Finding the Third Proportional to 147,516.19 and 314,335.69

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Solution

The third proportional to 147,516.19 and 314,335.69 is: 669,803.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,516.19 : 314,335.69 = 314,335.69 : x
  2. Step 2: Convert to fraction form
    147,516.19/314,335.69 = 314,335.69/x
  3. Step 3: Cross multiply
    147,516.19x = 314,335.69 × 314,335.69
  4. Step 4: Simplify right side
    147,516.19x = 98,806,924,436.10
  5. Step 5: Solve for x
    x = 98,806,924,436.10/147,516.19
  6. Step 6: Final answer
    x = 669,803.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.