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Finding the Third Proportional to 174,966 and 357,312

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Solution

The third proportional to 174,966 and 357,312 is: 729,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,966 : 357,312 = 357,312 : x
  2. Step 2: Convert to fraction form
    174,966/357,312 = 357,312/x
  3. Step 3: Cross multiply
    174,966x = 357,312 × 357,312
  4. Step 4: Simplify right side
    174,966x = 127,671,865,344
  5. Step 5: Solve for x
    x = 127,671,865,344/174,966
  6. Step 6: Final answer
    x = 729,695.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.