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Finding the Third Proportional to 142,955 and 210,274

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Solution

The third proportional to 142,955 and 210,274 is: 309,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,955 : 210,274 = 210,274 : x
  2. Step 2: Convert to fraction form
    142,955/210,274 = 210,274/x
  3. Step 3: Cross multiply
    142,955x = 210,274 × 210,274
  4. Step 4: Simplify right side
    142,955x = 44,215,155,076
  5. Step 5: Solve for x
    x = 44,215,155,076/142,955
  6. Step 6: Final answer
    x = 309,294.22

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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.