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Finding the Third Proportional to 112,473 and 237,588

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Solution

The third proportional to 112,473 and 237,588 is: 501,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,473 : 237,588 = 237,588 : x
  2. Step 2: Convert to fraction form
    112,473/237,588 = 237,588/x
  3. Step 3: Cross multiply
    112,473x = 237,588 × 237,588
  4. Step 4: Simplify right side
    112,473x = 56,448,057,744
  5. Step 5: Solve for x
    x = 56,448,057,744/112,473
  6. Step 6: Final answer
    x = 501,880.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.