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Finding the Third Proportional to 134,946 and 201,684

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Solution

The third proportional to 134,946 and 201,684 is: 301,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,946 : 201,684 = 201,684 : x
  2. Step 2: Convert to fraction form
    134,946/201,684 = 201,684/x
  3. Step 3: Cross multiply
    134,946x = 201,684 × 201,684
  4. Step 4: Simplify right side
    134,946x = 40,676,435,856
  5. Step 5: Solve for x
    x = 40,676,435,856/134,946
  6. Step 6: Final answer
    x = 301,427.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.