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Finding the Third Proportional to 175,532 and 385,386

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Solution

The third proportional to 175,532 and 385,386 is: 846,127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,532 : 385,386 = 385,386 : x
  2. Step 2: Convert to fraction form
    175,532/385,386 = 385,386/x
  3. Step 3: Cross multiply
    175,532x = 385,386 × 385,386
  4. Step 4: Simplify right side
    175,532x = 148,522,368,996
  5. Step 5: Solve for x
    x = 148,522,368,996/175,532
  6. Step 6: Final answer
    x = 846,127.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.