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Finding the Third Proportional to 176,258.53 and 383,271.75

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Solution

The third proportional to 176,258.53 and 383,271.75 is: 833,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,258.53 : 383,271.75 = 383,271.75 : x
  2. Step 2: Convert to fraction form
    176,258.53/383,271.75 = 383,271.75/x
  3. Step 3: Cross multiply
    176,258.53x = 383,271.75 × 383,271.75
  4. Step 4: Simplify right side
    176,258.53x = 146,897,234,348.06
  5. Step 5: Solve for x
    x = 146,897,234,348.06/176,258.53
  6. Step 6: Final answer
    x = 833,419.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.