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Finding the Third Proportional to 152,752 and 328,076

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Solution

The third proportional to 152,752 and 328,076 is: 704,631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,752 : 328,076 = 328,076 : x
  2. Step 2: Convert to fraction form
    152,752/328,076 = 328,076/x
  3. Step 3: Cross multiply
    152,752x = 328,076 × 328,076
  4. Step 4: Simplify right side
    152,752x = 107,633,861,776
  5. Step 5: Solve for x
    x = 107,633,861,776/152,752
  6. Step 6: Final answer
    x = 704,631.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.