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Finding the Third Proportional to 264,019.50 and 358,722

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Solution

The third proportional to 264,019.50 and 358,722 is: 487,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,019.50 : 358,722 = 358,722 : x
  2. Step 2: Convert to fraction form
    264,019.50/358,722 = 358,722/x
  3. Step 3: Cross multiply
    264,019.50x = 358,722 × 358,722
  4. Step 4: Simplify right side
    264,019.50x = 128,681,473,284
  5. Step 5: Solve for x
    x = 128,681,473,284/264,019.50
  6. Step 6: Final answer
    x = 487,393.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.