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Finding the Third Proportional to 141,030 and 296,604

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Solution

The third proportional to 141,030 and 296,604 is: 623,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,030 : 296,604 = 296,604 : x
  2. Step 2: Convert to fraction form
    141,030/296,604 = 296,604/x
  3. Step 3: Cross multiply
    141,030x = 296,604 × 296,604
  4. Step 4: Simplify right side
    141,030x = 87,973,932,816
  5. Step 5: Solve for x
    x = 87,973,932,816/141,030
  6. Step 6: Final answer
    x = 623,795.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.