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Finding the Third Proportional to 251,352 and 369,468

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Solution

The third proportional to 251,352 and 369,468 is: 543,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,352 : 369,468 = 369,468 : x
  2. Step 2: Convert to fraction form
    251,352/369,468 = 369,468/x
  3. Step 3: Cross multiply
    251,352x = 369,468 × 369,468
  4. Step 4: Simplify right side
    251,352x = 136,506,603,024
  5. Step 5: Solve for x
    x = 136,506,603,024/251,352
  6. Step 6: Final answer
    x = 543,089.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.