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Finding the Third Proportional to 153,024 and 328,184

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Solution

The third proportional to 153,024 and 328,184 is: 703,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,024 : 328,184 = 328,184 : x
  2. Step 2: Convert to fraction form
    153,024/328,184 = 328,184/x
  3. Step 3: Cross multiply
    153,024x = 328,184 × 328,184
  4. Step 4: Simplify right side
    153,024x = 107,704,737,856
  5. Step 5: Solve for x
    x = 107,704,737,856/153,024
  6. Step 6: Final answer
    x = 703,842.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.