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Finding the Third Proportional to 176,448 and 416,468.50

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Solution

The third proportional to 176,448 and 416,468.50 is: 982,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,448 : 416,468.50 = 416,468.50 : x
  2. Step 2: Convert to fraction form
    176,448/416,468.50 = 416,468.50/x
  3. Step 3: Cross multiply
    176,448x = 416,468.50 × 416,468.50
  4. Step 4: Simplify right side
    176,448x = 173,446,011,492.25
  5. Step 5: Solve for x
    x = 173,446,011,492.25/176,448
  6. Step 6: Final answer
    x = 982,986.55

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.