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Finding the Third Proportional to 175,360 and 383,444

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Solution

The third proportional to 175,360 and 383,444 is: 838,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,360 : 383,444 = 383,444 : x
  2. Step 2: Convert to fraction form
    175,360/383,444 = 383,444/x
  3. Step 3: Cross multiply
    175,360x = 383,444 × 383,444
  4. Step 4: Simplify right side
    175,360x = 147,029,301,136
  5. Step 5: Solve for x
    x = 147,029,301,136/175,360
  6. Step 6: Final answer
    x = 838,442.64

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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.