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Finding the Third Proportional to 176,593 and 392,415.75

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Solution

The third proportional to 176,593 and 392,415.75 is: 872,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,593 : 392,415.75 = 392,415.75 : x
  2. Step 2: Convert to fraction form
    176,593/392,415.75 = 392,415.75/x
  3. Step 3: Cross multiply
    176,593x = 392,415.75 × 392,415.75
  4. Step 4: Simplify right side
    176,593x = 153,990,120,848.06
  5. Step 5: Solve for x
    x = 153,990,120,848.06/176,593
  6. Step 6: Final answer
    x = 872,005.80

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.