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Finding the Third Proportional to 132,441 and 288,528.50

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Solution

The third proportional to 132,441 and 288,528.50 is: 628,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,441 : 288,528.50 = 288,528.50 : x
  2. Step 2: Convert to fraction form
    132,441/288,528.50 = 288,528.50/x
  3. Step 3: Cross multiply
    132,441x = 288,528.50 × 288,528.50
  4. Step 4: Simplify right side
    132,441x = 83,248,695,312.25
  5. Step 5: Solve for x
    x = 83,248,695,312.25/132,441
  6. Step 6: Final answer
    x = 628,571.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.