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Finding the Third Proportional to 158,764.88 and 342,457.13

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Solution

The third proportional to 158,764.88 and 342,457.13 is: 738,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,764.88 : 342,457.13 = 342,457.13 : x
  2. Step 2: Convert to fraction form
    158,764.88/342,457.13 = 342,457.13/x
  3. Step 3: Cross multiply
    158,764.88x = 342,457.13 × 342,457.13
  4. Step 4: Simplify right side
    158,764.88x = 117,276,882,463.27
  5. Step 5: Solve for x
    x = 117,276,882,463.27/158,764.88
  6. Step 6: Final answer
    x = 738,682.80

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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.