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Finding the Third Proportional to 141,148 and 302,764

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Solution

The third proportional to 141,148 and 302,764 is: 649,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,148 : 302,764 = 302,764 : x
  2. Step 2: Convert to fraction form
    141,148/302,764 = 302,764/x
  3. Step 3: Cross multiply
    141,148x = 302,764 × 302,764
  4. Step 4: Simplify right side
    141,148x = 91,666,039,696
  5. Step 5: Solve for x
    x = 91,666,039,696/141,148
  6. Step 6: Final answer
    x = 649,432.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.