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Finding the Third Proportional to 214,023 and 506,145

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Solution

The third proportional to 214,023 and 506,145 is: 1,196,987.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,023 : 506,145 = 506,145 : x
  2. Step 2: Convert to fraction form
    214,023/506,145 = 506,145/x
  3. Step 3: Cross multiply
    214,023x = 506,145 × 506,145
  4. Step 4: Simplify right side
    214,023x = 256,182,761,025
  5. Step 5: Solve for x
    x = 256,182,761,025/214,023
  6. Step 6: Final answer
    x = 1,196,987.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.