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Finding the Third Proportional to 142,302 and 302,127

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Solution

The third proportional to 142,302 and 302,127 is: 641,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,302 : 302,127 = 302,127 : x
  2. Step 2: Convert to fraction form
    142,302/302,127 = 302,127/x
  3. Step 3: Cross multiply
    142,302x = 302,127 × 302,127
  4. Step 4: Simplify right side
    142,302x = 91,280,724,129
  5. Step 5: Solve for x
    x = 91,280,724,129/142,302
  6. Step 6: Final answer
    x = 641,457.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.