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Finding the Third Proportional to 176,332 and 369,896

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Solution

The third proportional to 176,332 and 369,896 is: 775,939.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,332 : 369,896 = 369,896 : x
  2. Step 2: Convert to fraction form
    176,332/369,896 = 369,896/x
  3. Step 3: Cross multiply
    176,332x = 369,896 × 369,896
  4. Step 4: Simplify right side
    176,332x = 136,823,050,816
  5. Step 5: Solve for x
    x = 136,823,050,816/176,332
  6. Step 6: Final answer
    x = 775,939.99

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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.