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Finding the Third Proportional to 257,351.63 and 371,264.06

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Solution

The third proportional to 257,351.63 and 371,264.06 is: 535,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,351.63 : 371,264.06 = 371,264.06 : x
  2. Step 2: Convert to fraction form
    257,351.63/371,264.06 = 371,264.06/x
  3. Step 3: Cross multiply
    257,351.63x = 371,264.06 × 371,264.06
  4. Step 4: Simplify right side
    257,351.63x = 137,837,004,104.00
  5. Step 5: Solve for x
    x = 137,837,004,104.00/257,351.63
  6. Step 6: Final answer
    x = 535,597.96

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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.