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Finding the Third Proportional to 176,157 and 251,005.50

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Solution

The third proportional to 176,157 and 251,005.50 is: 357,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,157 : 251,005.50 = 251,005.50 : x
  2. Step 2: Convert to fraction form
    176,157/251,005.50 = 251,005.50/x
  3. Step 3: Cross multiply
    176,157x = 251,005.50 × 251,005.50
  4. Step 4: Simplify right side
    176,157x = 63,003,761,030.25
  5. Step 5: Solve for x
    x = 63,003,761,030.25/176,157
  6. Step 6: Final answer
    x = 357,656.87

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