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Finding the Third Proportional to 202,346 and 296,957

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Solution

The third proportional to 202,346 and 296,957 is: 435,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,346 : 296,957 = 296,957 : x
  2. Step 2: Convert to fraction form
    202,346/296,957 = 296,957/x
  3. Step 3: Cross multiply
    202,346x = 296,957 × 296,957
  4. Step 4: Simplify right side
    202,346x = 88,183,459,849
  5. Step 5: Solve for x
    x = 88,183,459,849/202,346
  6. Step 6: Final answer
    x = 435,805.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.