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Finding the Third Proportional to 78,594 and 169,740

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Solution

The third proportional to 78,594 and 169,740 is: 366,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,594 : 169,740 = 169,740 : x
  2. Step 2: Convert to fraction form
    78,594/169,740 = 169,740/x
  3. Step 3: Cross multiply
    78,594x = 169,740 × 169,740
  4. Step 4: Simplify right side
    78,594x = 28,811,667,600
  5. Step 5: Solve for x
    x = 28,811,667,600/78,594
  6. Step 6: Final answer
    x = 366,588.64

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Why These Related Problems?

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