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Finding the Third Proportional to 237,672 and 356,554

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Solution

The third proportional to 237,672 and 356,554 is: 534,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,672 : 356,554 = 356,554 : x
  2. Step 2: Convert to fraction form
    237,672/356,554 = 356,554/x
  3. Step 3: Cross multiply
    237,672x = 356,554 × 356,554
  4. Step 4: Simplify right side
    237,672x = 127,130,754,916
  5. Step 5: Solve for x
    x = 127,130,754,916/237,672
  6. Step 6: Final answer
    x = 534,900.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.