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Finding the Third Proportional to 175,312 and 383,360

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Solution

The third proportional to 175,312 and 383,360 is: 838,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,312 : 383,360 = 383,360 : x
  2. Step 2: Convert to fraction form
    175,312/383,360 = 383,360/x
  3. Step 3: Cross multiply
    175,312x = 383,360 × 383,360
  4. Step 4: Simplify right side
    175,312x = 146,964,889,600
  5. Step 5: Solve for x
    x = 146,964,889,600/175,312
  6. Step 6: Final answer
    x = 838,304.79

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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.