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Finding the Third Proportional to 257,365 and 371,283

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Solution

The third proportional to 257,365 and 371,283 is: 535,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,365 : 371,283 = 371,283 : x
  2. Step 2: Convert to fraction form
    257,365/371,283 = 371,283/x
  3. Step 3: Cross multiply
    257,365x = 371,283 × 371,283
  4. Step 4: Simplify right side
    257,365x = 137,851,066,089
  5. Step 5: Solve for x
    x = 137,851,066,089/257,365
  6. Step 6: Final answer
    x = 535,624.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.