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Finding the Third Proportional to 214,028 and 506,154

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Solution

The third proportional to 214,028 and 506,154 is: 1,197,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,028 : 506,154 = 506,154 : x
  2. Step 2: Convert to fraction form
    214,028/506,154 = 506,154/x
  3. Step 3: Cross multiply
    214,028x = 506,154 × 506,154
  4. Step 4: Simplify right side
    214,028x = 256,191,871,716
  5. Step 5: Solve for x
    x = 256,191,871,716/214,028
  6. Step 6: Final answer
    x = 1,197,001.66

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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.