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Finding the Third Proportional to 79,298.25 and 174,368.50

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Solution

The third proportional to 79,298.25 and 174,368.50 is: 383,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,298.25 : 174,368.50 = 174,368.50 : x
  2. Step 2: Convert to fraction form
    79,298.25/174,368.50 = 174,368.50/x
  3. Step 3: Cross multiply
    79,298.25x = 174,368.50 × 174,368.50
  4. Step 4: Simplify right side
    79,298.25x = 30,404,373,792.25
  5. Step 5: Solve for x
    x = 30,404,373,792.25/79,298.25
  6. Step 6: Final answer
    x = 383,417.97

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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.