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Finding the Third Proportional to 221,984 and 360,658

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Solution

The third proportional to 221,984 and 360,658 is: 585,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,984 : 360,658 = 360,658 : x
  2. Step 2: Convert to fraction form
    221,984/360,658 = 360,658/x
  3. Step 3: Cross multiply
    221,984x = 360,658 × 360,658
  4. Step 4: Simplify right side
    221,984x = 130,074,192,964
  5. Step 5: Solve for x
    x = 130,074,192,964/221,984
  6. Step 6: Final answer
    x = 585,962.02

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.