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Finding the Third Proportional to 120,652.50 and 260,004

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Solution

The third proportional to 120,652.50 and 260,004 is: 560,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,652.50 : 260,004 = 260,004 : x
  2. Step 2: Convert to fraction form
    120,652.50/260,004 = 260,004/x
  3. Step 3: Cross multiply
    120,652.50x = 260,004 × 260,004
  4. Step 4: Simplify right side
    120,652.50x = 67,602,080,016
  5. Step 5: Solve for x
    x = 67,602,080,016/120,652.50
  6. Step 6: Final answer
    x = 560,304.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.