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Finding the Third Proportional to 174,196.13 and 254,575.69

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Solution

The third proportional to 174,196.13 and 254,575.69 is: 372,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,196.13 : 254,575.69 = 254,575.69 : x
  2. Step 2: Convert to fraction form
    174,196.13/254,575.69 = 254,575.69/x
  3. Step 3: Cross multiply
    174,196.13x = 254,575.69 × 254,575.69
  4. Step 4: Simplify right side
    174,196.13x = 64,808,780,666.10
  5. Step 5: Solve for x
    x = 64,808,780,666.10/174,196.13
  6. Step 6: Final answer
    x = 372,044.90

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.