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Finding the Third Proportional to 202,207 and 306,095

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Solution

The third proportional to 202,207 and 306,095 is: 463,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,207 : 306,095 = 306,095 : x
  2. Step 2: Convert to fraction form
    202,207/306,095 = 306,095/x
  3. Step 3: Cross multiply
    202,207x = 306,095 × 306,095
  4. Step 4: Simplify right side
    202,207x = 93,694,149,025
  5. Step 5: Solve for x
    x = 93,694,149,025/202,207
  6. Step 6: Final answer
    x = 463,357.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.