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Finding the Third Proportional to 142,410 and 336,172

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Solution

The third proportional to 142,410 and 336,172 is: 793,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,410 : 336,172 = 336,172 : x
  2. Step 2: Convert to fraction form
    142,410/336,172 = 336,172/x
  3. Step 3: Cross multiply
    142,410x = 336,172 × 336,172
  4. Step 4: Simplify right side
    142,410x = 113,011,613,584
  5. Step 5: Solve for x
    x = 113,011,613,584/142,410
  6. Step 6: Final answer
    x = 793,565.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.