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Finding the Third Proportional to 125,296.50 and 262,894.50

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Solution

The third proportional to 125,296.50 and 262,894.50 is: 551,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,296.50 : 262,894.50 = 262,894.50 : x
  2. Step 2: Convert to fraction form
    125,296.50/262,894.50 = 262,894.50/x
  3. Step 3: Cross multiply
    125,296.50x = 262,894.50 × 262,894.50
  4. Step 4: Simplify right side
    125,296.50x = 69,113,518,130.25
  5. Step 5: Solve for x
    x = 69,113,518,130.25/125,296.50
  6. Step 6: Final answer
    x = 551,599.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.