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Finding the Third Proportional to 97,148 and 210,424

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Solution

The third proportional to 97,148 and 210,424 is: 455,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,148 : 210,424 = 210,424 : x
  2. Step 2: Convert to fraction form
    97,148/210,424 = 210,424/x
  3. Step 3: Cross multiply
    97,148x = 210,424 × 210,424
  4. Step 4: Simplify right side
    97,148x = 44,278,259,776
  5. Step 5: Solve for x
    x = 44,278,259,776/97,148
  6. Step 6: Final answer
    x = 455,781.49

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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.