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Finding the Third Proportional to 132,410 and 302,513

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Solution

The third proportional to 132,410 and 302,513 is: 691,142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,410 : 302,513 = 302,513 : x
  2. Step 2: Convert to fraction form
    132,410/302,513 = 302,513/x
  3. Step 3: Cross multiply
    132,410x = 302,513 × 302,513
  4. Step 4: Simplify right side
    132,410x = 91,514,115,169
  5. Step 5: Solve for x
    x = 91,514,115,169/132,410
  6. Step 6: Final answer
    x = 691,142.02

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.