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Finding the Third Proportional to 174,964 and 366,560

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Solution

The third proportional to 174,964 and 366,560 is: 767,965.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,964 : 366,560 = 366,560 : x
  2. Step 2: Convert to fraction form
    174,964/366,560 = 366,560/x
  3. Step 3: Cross multiply
    174,964x = 366,560 × 366,560
  4. Step 4: Simplify right side
    174,964x = 134,366,233,600
  5. Step 5: Solve for x
    x = 134,366,233,600/174,964
  6. Step 6: Final answer
    x = 767,965.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.