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Finding the Third Proportional to 145,714 and 221,594

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Solution

The third proportional to 145,714 and 221,594 is: 336,988.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,714 : 221,594 = 221,594 : x
  2. Step 2: Convert to fraction form
    145,714/221,594 = 221,594/x
  3. Step 3: Cross multiply
    145,714x = 221,594 × 221,594
  4. Step 4: Simplify right side
    145,714x = 49,103,900,836
  5. Step 5: Solve for x
    x = 49,103,900,836/145,714
  6. Step 6: Final answer
    x = 336,988.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.