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Finding the Third Proportional to 179,370 and 384,498

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Solution

The third proportional to 179,370 and 384,498 is: 824,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,370 : 384,498 = 384,498 : x
  2. Step 2: Convert to fraction form
    179,370/384,498 = 384,498/x
  3. Step 3: Cross multiply
    179,370x = 384,498 × 384,498
  4. Step 4: Simplify right side
    179,370x = 147,838,712,004
  5. Step 5: Solve for x
    x = 147,838,712,004/179,370
  6. Step 6: Final answer
    x = 824,210.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.