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Finding the Third Proportional to 170,953.50 and 265,381.50

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Solution

The third proportional to 170,953.50 and 265,381.50 is: 411,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,953.50 : 265,381.50 = 265,381.50 : x
  2. Step 2: Convert to fraction form
    170,953.50/265,381.50 = 265,381.50/x
  3. Step 3: Cross multiply
    170,953.50x = 265,381.50 × 265,381.50
  4. Step 4: Simplify right side
    170,953.50x = 70,427,340,542.25
  5. Step 5: Solve for x
    x = 70,427,340,542.25/170,953.50
  6. Step 6: Final answer
    x = 411,967.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.