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Finding the Third Proportional to 174,365 and 369,654

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Solution

The third proportional to 174,365 and 369,654 is: 783,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,365 : 369,654 = 369,654 : x
  2. Step 2: Convert to fraction form
    174,365/369,654 = 369,654/x
  3. Step 3: Cross multiply
    174,365x = 369,654 × 369,654
  4. Step 4: Simplify right side
    174,365x = 136,644,079,716
  5. Step 5: Solve for x
    x = 136,644,079,716/174,365
  6. Step 6: Final answer
    x = 783,666.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.