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Finding the Third Proportional to 214,020 and 506,136

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Solution

The third proportional to 214,020 and 506,136 is: 1,196,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,020 : 506,136 = 506,136 : x
  2. Step 2: Convert to fraction form
    214,020/506,136 = 506,136/x
  3. Step 3: Cross multiply
    214,020x = 506,136 × 506,136
  4. Step 4: Simplify right side
    214,020x = 256,173,650,496
  5. Step 5: Solve for x
    x = 256,173,650,496/214,020
  6. Step 6: Final answer
    x = 1,196,961.27

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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.