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Finding the Third Proportional to 201,730 and 293,136

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Solution

The third proportional to 201,730 and 293,136 is: 425,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,730 : 293,136 = 293,136 : x
  2. Step 2: Convert to fraction form
    201,730/293,136 = 293,136/x
  3. Step 3: Cross multiply
    201,730x = 293,136 × 293,136
  4. Step 4: Simplify right side
    201,730x = 85,928,714,496
  5. Step 5: Solve for x
    x = 85,928,714,496/201,730
  6. Step 6: Final answer
    x = 425,959.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.