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Finding the Third Proportional to 170,415.75 and 369,038.25

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Solution

The third proportional to 170,415.75 and 369,038.25 is: 799,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,415.75 : 369,038.25 = 369,038.25 : x
  2. Step 2: Convert to fraction form
    170,415.75/369,038.25 = 369,038.25/x
  3. Step 3: Cross multiply
    170,415.75x = 369,038.25 × 369,038.25
  4. Step 4: Simplify right side
    170,415.75x = 136,189,229,963.06
  5. Step 5: Solve for x
    x = 136,189,229,963.06/170,415.75
  6. Step 6: Final answer
    x = 799,158.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.