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Finding the Third Proportional to 206,070 and 326,923.50

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Solution

The third proportional to 206,070 and 326,923.50 is: 518,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,070 : 326,923.50 = 326,923.50 : x
  2. Step 2: Convert to fraction form
    206,070/326,923.50 = 326,923.50/x
  3. Step 3: Cross multiply
    206,070x = 326,923.50 × 326,923.50
  4. Step 4: Simplify right side
    206,070x = 106,878,974,852.25
  5. Step 5: Solve for x
    x = 106,878,974,852.25/206,070
  6. Step 6: Final answer
    x = 518,653.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.