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Finding the Third Proportional to 176,291.44 and 268,570.69

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Solution

The third proportional to 176,291.44 and 268,570.69 is: 409,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,291.44 : 268,570.69 = 268,570.69 : x
  2. Step 2: Convert to fraction form
    176,291.44/268,570.69 = 268,570.69/x
  3. Step 3: Cross multiply
    176,291.44x = 268,570.69 × 268,570.69
  4. Step 4: Simplify right side
    176,291.44x = 72,130,214,184.22
  5. Step 5: Solve for x
    x = 72,130,214,184.22/176,291.44
  6. Step 6: Final answer
    x = 409,153.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.