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Finding the Third Proportional to 118,590.75 and 260,509.50

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Solution

The third proportional to 118,590.75 and 260,509.50 is: 572,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,590.75 : 260,509.50 = 260,509.50 : x
  2. Step 2: Convert to fraction form
    118,590.75/260,509.50 = 260,509.50/x
  3. Step 3: Cross multiply
    118,590.75x = 260,509.50 × 260,509.50
  4. Step 4: Simplify right side
    118,590.75x = 67,865,199,590.25
  5. Step 5: Solve for x
    x = 67,865,199,590.25/118,590.75
  6. Step 6: Final answer
    x = 572,263.85

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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.