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Finding the Third Proportional to 174,557 and 380,217

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Solution

The third proportional to 174,557 and 380,217 is: 828,182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,557 : 380,217 = 380,217 : x
  2. Step 2: Convert to fraction form
    174,557/380,217 = 380,217/x
  3. Step 3: Cross multiply
    174,557x = 380,217 × 380,217
  4. Step 4: Simplify right side
    174,557x = 144,564,967,089
  5. Step 5: Solve for x
    x = 144,564,967,089/174,557
  6. Step 6: Final answer
    x = 828,182.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.