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Finding the Third Proportional to 175,788 and 372,528

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Solution

The third proportional to 175,788 and 372,528 is: 789,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,788 : 372,528 = 372,528 : x
  2. Step 2: Convert to fraction form
    175,788/372,528 = 372,528/x
  3. Step 3: Cross multiply
    175,788x = 372,528 × 372,528
  4. Step 4: Simplify right side
    175,788x = 138,777,110,784
  5. Step 5: Solve for x
    x = 138,777,110,784/175,788
  6. Step 6: Final answer
    x = 789,457.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.