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Finding the Third Proportional to 145,445 and 304,132

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Solution

The third proportional to 145,445 and 304,132 is: 635,953.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,445 : 304,132 = 304,132 : x
  2. Step 2: Convert to fraction form
    145,445/304,132 = 304,132/x
  3. Step 3: Cross multiply
    145,445x = 304,132 × 304,132
  4. Step 4: Simplify right side
    145,445x = 92,496,273,424
  5. Step 5: Solve for x
    x = 92,496,273,424/145,445
  6. Step 6: Final answer
    x = 635,953.61

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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.