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Finding the Third Proportional to 74,210.34 and 175,002.19

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Solution

The third proportional to 74,210.34 and 175,002.19 is: 412,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,210.34 : 175,002.19 = 175,002.19 : x
  2. Step 2: Convert to fraction form
    74,210.34/175,002.19 = 175,002.19/x
  3. Step 3: Cross multiply
    74,210.34x = 175,002.19 × 175,002.19
  4. Step 4: Simplify right side
    74,210.34x = 30,625,765,629.79
  5. Step 5: Solve for x
    x = 30,625,765,629.79/74,210.34
  6. Step 6: Final answer
    x = 412,688.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.