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Finding the Third Proportional to 241,274 and 530,136

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Solution

The third proportional to 241,274 and 530,136 is: 1,164,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,274 : 530,136 = 530,136 : x
  2. Step 2: Convert to fraction form
    241,274/530,136 = 530,136/x
  3. Step 3: Cross multiply
    241,274x = 530,136 × 530,136
  4. Step 4: Simplify right side
    241,274x = 281,044,178,496
  5. Step 5: Solve for x
    x = 281,044,178,496/241,274
  6. Step 6: Final answer
    x = 1,164,834.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.