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Finding the Third Proportional to 214,028 and 331,862

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Solution

The third proportional to 214,028 and 331,862 is: 514,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,028 : 331,862 = 331,862 : x
  2. Step 2: Convert to fraction form
    214,028/331,862 = 331,862/x
  3. Step 3: Cross multiply
    214,028x = 331,862 × 331,862
  4. Step 4: Simplify right side
    214,028x = 110,132,387,044
  5. Step 5: Solve for x
    x = 110,132,387,044/214,028
  6. Step 6: Final answer
    x = 514,570.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.