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Finding the Third Proportional to 132,970.50 and 202,531.50

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Solution

The third proportional to 132,970.50 and 202,531.50 is: 308,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,970.50 : 202,531.50 = 202,531.50 : x
  2. Step 2: Convert to fraction form
    132,970.50/202,531.50 = 202,531.50/x
  3. Step 3: Cross multiply
    132,970.50x = 202,531.50 × 202,531.50
  4. Step 4: Simplify right side
    132,970.50x = 41,019,008,492.25
  5. Step 5: Solve for x
    x = 41,019,008,492.25/132,970.50
  6. Step 6: Final answer
    x = 308,482.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.