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Finding the Third Proportional to 79,301 and 174,373.50

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Solution

The third proportional to 79,301 and 174,373.50 is: 383,426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,301 : 174,373.50 = 174,373.50 : x
  2. Step 2: Convert to fraction form
    79,301/174,373.50 = 174,373.50/x
  3. Step 3: Cross multiply
    79,301x = 174,373.50 × 174,373.50
  4. Step 4: Simplify right side
    79,301x = 30,406,117,502.25
  5. Step 5: Solve for x
    x = 30,406,117,502.25/79,301
  6. Step 6: Final answer
    x = 383,426.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.