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Finding the Third Proportional to 174,369 and 369,664

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Solution

The third proportional to 174,369 and 369,664 is: 783,691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,369 : 369,664 = 369,664 : x
  2. Step 2: Convert to fraction form
    174,369/369,664 = 369,664/x
  3. Step 3: Cross multiply
    174,369x = 369,664 × 369,664
  4. Step 4: Simplify right side
    174,369x = 136,651,472,896
  5. Step 5: Solve for x
    x = 136,651,472,896/174,369
  6. Step 6: Final answer
    x = 783,691.33

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