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Finding the Third Proportional to 141,210 and 302,886

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Solution

The third proportional to 141,210 and 302,886 is: 649,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,210 : 302,886 = 302,886 : x
  2. Step 2: Convert to fraction form
    141,210/302,886 = 302,886/x
  3. Step 3: Cross multiply
    141,210x = 302,886 × 302,886
  4. Step 4: Simplify right side
    141,210x = 91,739,928,996
  5. Step 5: Solve for x
    x = 91,739,928,996/141,210
  6. Step 6: Final answer
    x = 649,670.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.