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Finding the Third Proportional to 175,428 and 384,184

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Solution

The third proportional to 175,428 and 384,184 is: 841,355.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,428 : 384,184 = 384,184 : x
  2. Step 2: Convert to fraction form
    175,428/384,184 = 384,184/x
  3. Step 3: Cross multiply
    175,428x = 384,184 × 384,184
  4. Step 4: Simplify right side
    175,428x = 147,597,345,856
  5. Step 5: Solve for x
    x = 147,597,345,856/175,428
  6. Step 6: Final answer
    x = 841,355.69

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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.