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Finding the Third Proportional to 120,784.50 and 265,465

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Solution

The third proportional to 120,784.50 and 265,465 is: 583,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,784.50 : 265,465 = 265,465 : x
  2. Step 2: Convert to fraction form
    120,784.50/265,465 = 265,465/x
  3. Step 3: Cross multiply
    120,784.50x = 265,465 × 265,465
  4. Step 4: Simplify right side
    120,784.50x = 70,471,666,225
  5. Step 5: Solve for x
    x = 70,471,666,225/120,784.50
  6. Step 6: Final answer
    x = 583,449.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.