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Finding the Third Proportional to 97,146 and 210,420

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Solution

The third proportional to 97,146 and 210,420 is: 455,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,146 : 210,420 = 210,420 : x
  2. Step 2: Convert to fraction form
    97,146/210,420 = 210,420/x
  3. Step 3: Cross multiply
    97,146x = 210,420 × 210,420
  4. Step 4: Simplify right side
    97,146x = 44,276,576,400
  5. Step 5: Solve for x
    x = 44,276,576,400/97,146
  6. Step 6: Final answer
    x = 455,773.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.