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Finding the Third Proportional to 145,411.50 and 304,065

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Solution

The third proportional to 145,411.50 and 304,065 is: 635,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,411.50 : 304,065 = 304,065 : x
  2. Step 2: Convert to fraction form
    145,411.50/304,065 = 304,065/x
  3. Step 3: Cross multiply
    145,411.50x = 304,065 × 304,065
  4. Step 4: Simplify right side
    145,411.50x = 92,455,524,225
  5. Step 5: Solve for x
    x = 92,455,524,225/145,411.50
  6. Step 6: Final answer
    x = 635,819.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.