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Finding the Third Proportional to 176,130 and 328,896

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Solution

The third proportional to 176,130 and 328,896 is: 614,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,130 : 328,896 = 328,896 : x
  2. Step 2: Convert to fraction form
    176,130/328,896 = 328,896/x
  3. Step 3: Cross multiply
    176,130x = 328,896 × 328,896
  4. Step 4: Simplify right side
    176,130x = 108,172,578,816
  5. Step 5: Solve for x
    x = 108,172,578,816/176,130
  6. Step 6: Final answer
    x = 614,163.28

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.