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Finding the Third Proportional to 142,266.38 and 302,038.88

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Solution

The third proportional to 142,266.38 and 302,038.88 is: 641,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,266.38 : 302,038.88 = 302,038.88 : x
  2. Step 2: Convert to fraction form
    142,266.38/302,038.88 = 302,038.88/x
  3. Step 3: Cross multiply
    142,266.38x = 302,038.88 × 302,038.88
  4. Step 4: Simplify right side
    142,266.38x = 91,227,482,011.27
  5. Step 5: Solve for x
    x = 91,227,482,011.27/142,266.38
  6. Step 6: Final answer
    x = 641,244.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.