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Finding the Third Proportional to 141,648 and 306,528

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Solution

The third proportional to 141,648 and 306,528 is: 663,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,648 : 306,528 = 306,528 : x
  2. Step 2: Convert to fraction form
    141,648/306,528 = 306,528/x
  3. Step 3: Cross multiply
    141,648x = 306,528 × 306,528
  4. Step 4: Simplify right side
    141,648x = 93,959,414,784
  5. Step 5: Solve for x
    x = 93,959,414,784/141,648
  6. Step 6: Final answer
    x = 663,330.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.