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Finding the Third Proportional to 175,277.25 and 383,724

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Solution

The third proportional to 175,277.25 and 383,724 is: 840,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,277.25 : 383,724 = 383,724 : x
  2. Step 2: Convert to fraction form
    175,277.25/383,724 = 383,724/x
  3. Step 3: Cross multiply
    175,277.25x = 383,724 × 383,724
  4. Step 4: Simplify right side
    175,277.25x = 147,244,108,176
  5. Step 5: Solve for x
    x = 147,244,108,176/175,277.25
  6. Step 6: Final answer
    x = 840,064.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.