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Finding the Third Proportional to 214,018 and 506,132

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Solution

The third proportional to 214,018 and 506,132 is: 1,196,953.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,018 : 506,132 = 506,132 : x
  2. Step 2: Convert to fraction form
    214,018/506,132 = 506,132/x
  3. Step 3: Cross multiply
    214,018x = 506,132 × 506,132
  4. Step 4: Simplify right side
    214,018x = 256,169,601,424
  5. Step 5: Solve for x
    x = 256,169,601,424/214,018
  6. Step 6: Final answer
    x = 1,196,953.53

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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.