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Finding the Third Proportional to 142,701.75 and 304,403.06

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Solution

The third proportional to 142,701.75 and 304,403.06 is: 649,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,701.75 : 304,403.06 = 304,403.06 : x
  2. Step 2: Convert to fraction form
    142,701.75/304,403.06 = 304,403.06/x
  3. Step 3: Cross multiply
    142,701.75x = 304,403.06 × 304,403.06
  4. Step 4: Simplify right side
    142,701.75x = 92,661,224,459.38
  5. Step 5: Solve for x
    x = 92,661,224,459.38/142,701.75
  6. Step 6: Final answer
    x = 649,334.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.