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Finding the Third Proportional to 170,319.50 and 358,277

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Solution

The third proportional to 170,319.50 and 358,277 is: 753,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,319.50 : 358,277 = 358,277 : x
  2. Step 2: Convert to fraction form
    170,319.50/358,277 = 358,277/x
  3. Step 3: Cross multiply
    170,319.50x = 358,277 × 358,277
  4. Step 4: Simplify right side
    170,319.50x = 128,362,408,729
  5. Step 5: Solve for x
    x = 128,362,408,729/170,319.50
  6. Step 6: Final answer
    x = 753,656.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.