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Finding the Third Proportional to 132,427.50 and 289,612.50

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Solution

The third proportional to 132,427.50 and 289,612.50 is: 633,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,427.50 : 289,612.50 = 289,612.50 : x
  2. Step 2: Convert to fraction form
    132,427.50/289,612.50 = 289,612.50/x
  3. Step 3: Cross multiply
    132,427.50x = 289,612.50 × 289,612.50
  4. Step 4: Simplify right side
    132,427.50x = 83,875,400,156.25
  5. Step 5: Solve for x
    x = 83,875,400,156.25/132,427.50
  6. Step 6: Final answer
    x = 633,368.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.