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Finding the Third Proportional to 237,666 and 345,798

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Solution

The third proportional to 237,666 and 345,798 is: 503,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,666 : 345,798 = 345,798 : x
  2. Step 2: Convert to fraction form
    237,666/345,798 = 345,798/x
  3. Step 3: Cross multiply
    237,666x = 345,798 × 345,798
  4. Step 4: Simplify right side
    237,666x = 119,576,256,804
  5. Step 5: Solve for x
    x = 119,576,256,804/237,666
  6. Step 6: Final answer
    x = 503,127.32

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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.