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Finding the Third Proportional to 174,386 and 369,526

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Solution

The third proportional to 174,386 and 369,526 is: 783,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,386 : 369,526 = 369,526 : x
  2. Step 2: Convert to fraction form
    174,386/369,526 = 369,526/x
  3. Step 3: Cross multiply
    174,386x = 369,526 × 369,526
  4. Step 4: Simplify right side
    174,386x = 136,549,464,676
  5. Step 5: Solve for x
    x = 136,549,464,676/174,386
  6. Step 6: Final answer
    x = 783,029.97

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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.