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Finding the Third Proportional to 173,421 and 379,981.13

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Solution

The third proportional to 173,421 and 379,981.13 is: 832,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,421 : 379,981.13 = 379,981.13 : x
  2. Step 2: Convert to fraction form
    173,421/379,981.13 = 379,981.13/x
  3. Step 3: Cross multiply
    173,421x = 379,981.13 × 379,981.13
  4. Step 4: Simplify right side
    173,421x = 144,385,655,356.27
  5. Step 5: Solve for x
    x = 144,385,655,356.27/173,421
  6. Step 6: Final answer
    x = 832,573.08

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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.