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Finding the Third Proportional to 189,637.50 and 407,391

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Solution

The third proportional to 189,637.50 and 407,391 is: 875,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,637.50 : 407,391 = 407,391 : x
  2. Step 2: Convert to fraction form
    189,637.50/407,391 = 407,391/x
  3. Step 3: Cross multiply
    189,637.50x = 407,391 × 407,391
  4. Step 4: Simplify right side
    189,637.50x = 165,967,426,881
  5. Step 5: Solve for x
    x = 165,967,426,881/189,637.50
  6. Step 6: Final answer
    x = 875,182.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.