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Finding the Third Proportional to 201,905 and 293,457

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Solution

The third proportional to 201,905 and 293,457 is: 426,522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,905 : 293,457 = 293,457 : x
  2. Step 2: Convert to fraction form
    201,905/293,457 = 293,457/x
  3. Step 3: Cross multiply
    201,905x = 293,457 × 293,457
  4. Step 4: Simplify right side
    201,905x = 86,117,010,849
  5. Step 5: Solve for x
    x = 86,117,010,849/201,905
  6. Step 6: Final answer
    x = 426,522.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.