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Finding the Third Proportional to 125,328.75 and 260,985.75

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Solution

The third proportional to 125,328.75 and 260,985.75 is: 543,479.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,328.75 : 260,985.75 = 260,985.75 : x
  2. Step 2: Convert to fraction form
    125,328.75/260,985.75 = 260,985.75/x
  3. Step 3: Cross multiply
    125,328.75x = 260,985.75 × 260,985.75
  4. Step 4: Simplify right side
    125,328.75x = 68,113,561,703.06
  5. Step 5: Solve for x
    x = 68,113,561,703.06/125,328.75
  6. Step 6: Final answer
    x = 543,479.14

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.