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Finding the Third Proportional to 144,946 and 200,283

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Solution

The third proportional to 144,946 and 200,283 is: 276,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,946 : 200,283 = 200,283 : x
  2. Step 2: Convert to fraction form
    144,946/200,283 = 200,283/x
  3. Step 3: Cross multiply
    144,946x = 200,283 × 200,283
  4. Step 4: Simplify right side
    144,946x = 40,113,280,089
  5. Step 5: Solve for x
    x = 40,113,280,089/144,946
  6. Step 6: Final answer
    x = 276,746.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.