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Finding the Third Proportional to 70,413.75 and 156,570.19

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Solution

The third proportional to 70,413.75 and 156,570.19 is: 348,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,413.75 : 156,570.19 = 156,570.19 : x
  2. Step 2: Convert to fraction form
    70,413.75/156,570.19 = 156,570.19/x
  3. Step 3: Cross multiply
    70,413.75x = 156,570.19 × 156,570.19
  4. Step 4: Simplify right side
    70,413.75x = 24,514,223,613.79
  5. Step 5: Solve for x
    x = 24,514,223,613.79/70,413.75
  6. Step 6: Final answer
    x = 348,145.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.