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Finding the Third Proportional to 174,669.75 and 247,207.50

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Solution

The third proportional to 174,669.75 and 247,207.50 is: 349,869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,669.75 : 247,207.50 = 247,207.50 : x
  2. Step 2: Convert to fraction form
    174,669.75/247,207.50 = 247,207.50/x
  3. Step 3: Cross multiply
    174,669.75x = 247,207.50 × 247,207.50
  4. Step 4: Simplify right side
    174,669.75x = 61,111,548,056.25
  5. Step 5: Solve for x
    x = 61,111,548,056.25/174,669.75
  6. Step 6: Final answer
    x = 349,869.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.