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Finding the Third Proportional to 169,985 and 360,159.50

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Solution

The third proportional to 169,985 and 360,159.50 is: 763,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,985 : 360,159.50 = 360,159.50 : x
  2. Step 2: Convert to fraction form
    169,985/360,159.50 = 360,159.50/x
  3. Step 3: Cross multiply
    169,985x = 360,159.50 × 360,159.50
  4. Step 4: Simplify right side
    169,985x = 129,714,865,440.25
  5. Step 5: Solve for x
    x = 129,714,865,440.25/169,985
  6. Step 6: Final answer
    x = 763,095.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.