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Finding the Third Proportional to 159,085.13 and 343,077.75

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Solution

The third proportional to 159,085.13 and 343,077.75 is: 739,870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,085.13 : 343,077.75 = 343,077.75 : x
  2. Step 2: Convert to fraction form
    159,085.13/343,077.75 = 343,077.75/x
  3. Step 3: Cross multiply
    159,085.13x = 343,077.75 × 343,077.75
  4. Step 4: Simplify right side
    159,085.13x = 117,702,342,545.06
  5. Step 5: Solve for x
    x = 117,702,342,545.06/159,085.13
  6. Step 6: Final answer
    x = 739,870.20

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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.