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Finding the Third Proportional to 88,417.50 and 180,920.25

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Solution

The third proportional to 88,417.50 and 180,920.25 is: 370,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,417.50 : 180,920.25 = 180,920.25 : x
  2. Step 2: Convert to fraction form
    88,417.50/180,920.25 = 180,920.25/x
  3. Step 3: Cross multiply
    88,417.50x = 180,920.25 × 180,920.25
  4. Step 4: Simplify right side
    88,417.50x = 32,732,136,860.06
  5. Step 5: Solve for x
    x = 32,732,136,860.06/88,417.50
  6. Step 6: Final answer
    x = 370,199.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.