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Finding the Third Proportional to 201,601 and 314,658

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Solution

The third proportional to 201,601 and 314,658 is: 491,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,601 : 314,658 = 314,658 : x
  2. Step 2: Convert to fraction form
    201,601/314,658 = 314,658/x
  3. Step 3: Cross multiply
    201,601x = 314,658 × 314,658
  4. Step 4: Simplify right side
    201,601x = 99,009,656,964
  5. Step 5: Solve for x
    x = 99,009,656,964/201,601
  6. Step 6: Final answer
    x = 491,116.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.