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Finding the Third Proportional to 143,594 and 304,468

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Solution

The third proportional to 143,594 and 304,468 is: 645,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,594 : 304,468 = 304,468 : x
  2. Step 2: Convert to fraction form
    143,594/304,468 = 304,468/x
  3. Step 3: Cross multiply
    143,594x = 304,468 × 304,468
  4. Step 4: Simplify right side
    143,594x = 92,700,763,024
  5. Step 5: Solve for x
    x = 92,700,763,024/143,594
  6. Step 6: Final answer
    x = 645,575.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.