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Finding the Third Proportional to 97,322.50 and 202,482

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Solution

The third proportional to 97,322.50 and 202,482 is: 421,269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,322.50 : 202,482 = 202,482 : x
  2. Step 2: Convert to fraction form
    97,322.50/202,482 = 202,482/x
  3. Step 3: Cross multiply
    97,322.50x = 202,482 × 202,482
  4. Step 4: Simplify right side
    97,322.50x = 40,998,960,324
  5. Step 5: Solve for x
    x = 40,998,960,324/97,322.50
  6. Step 6: Final answer
    x = 421,269.08

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Why These Related Problems?

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