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Finding the Third Proportional to 74,445 and 175,707

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Solution

The third proportional to 74,445 and 175,707 is: 414,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,445 : 175,707 = 175,707 : x
  2. Step 2: Convert to fraction form
    74,445/175,707 = 175,707/x
  3. Step 3: Cross multiply
    74,445x = 175,707 × 175,707
  4. Step 4: Simplify right side
    74,445x = 30,872,949,849
  5. Step 5: Solve for x
    x = 30,872,949,849/74,445
  6. Step 6: Final answer
    x = 414,708.17

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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.