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Finding the Third Proportional to 176,598.56 and 252,208.69

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Solution

The third proportional to 176,598.56 and 252,208.69 is: 360,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,598.56 : 252,208.69 = 252,208.69 : x
  2. Step 2: Convert to fraction form
    176,598.56/252,208.69 = 252,208.69/x
  3. Step 3: Cross multiply
    176,598.56x = 252,208.69 × 252,208.69
  4. Step 4: Simplify right side
    176,598.56x = 63,609,222,050.47
  5. Step 5: Solve for x
    x = 63,609,222,050.47/176,598.56
  6. Step 6: Final answer
    x = 360,191.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.