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Finding the Third Proportional to 146,437.88 and 314,335.69

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Solution

The third proportional to 146,437.88 and 314,335.69 is: 674,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,437.88 : 314,335.69 = 314,335.69 : x
  2. Step 2: Convert to fraction form
    146,437.88/314,335.69 = 314,335.69/x
  3. Step 3: Cross multiply
    146,437.88x = 314,335.69 × 314,335.69
  4. Step 4: Simplify right side
    146,437.88x = 98,806,924,436.10
  5. Step 5: Solve for x
    x = 98,806,924,436.10/146,437.88
  6. Step 6: Final answer
    x = 674,736.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.