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Finding the Third Proportional to 158,766.19 and 342,460.13

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Solution

The third proportional to 158,766.19 and 342,460.13 is: 738,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,766.19 : 342,460.13 = 342,460.13 : x
  2. Step 2: Convert to fraction form
    158,766.19/342,460.13 = 342,460.13/x
  3. Step 3: Cross multiply
    158,766.19x = 342,460.13 × 342,460.13
  4. Step 4: Simplify right side
    158,766.19x = 117,278,937,215.02
  5. Step 5: Solve for x
    x = 117,278,937,215.02/158,766.19
  6. Step 6: Final answer
    x = 738,689.64

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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.