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Finding the Third Proportional to 256,588.07 and 369,603

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Solution

The third proportional to 256,588.07 and 369,603 is: 532,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,588.07 : 369,603 = 369,603 : x
  2. Step 2: Convert to fraction form
    256,588.07/369,603 = 369,603/x
  3. Step 3: Cross multiply
    256,588.07x = 369,603 × 369,603
  4. Step 4: Simplify right side
    256,588.07x = 136,606,377,609
  5. Step 5: Solve for x
    x = 136,606,377,609/256,588.07
  6. Step 6: Final answer
    x = 532,395.68

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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.