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Finding the Third Proportional to 70,565.50 and 152,210

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Solution

The third proportional to 70,565.50 and 152,210 is: 328,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,565.50 : 152,210 = 152,210 : x
  2. Step 2: Convert to fraction form
    70,565.50/152,210 = 152,210/x
  3. Step 3: Cross multiply
    70,565.50x = 152,210 × 152,210
  4. Step 4: Simplify right side
    70,565.50x = 23,167,884,100
  5. Step 5: Solve for x
    x = 23,167,884,100/70,565.50
  6. Step 6: Final answer
    x = 328,317.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.