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Finding the Third Proportional to 145,630.69 and 301,371.19

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Solution

The third proportional to 145,630.69 and 301,371.19 is: 623,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,630.69 : 301,371.19 = 301,371.19 : x
  2. Step 2: Convert to fraction form
    145,630.69/301,371.19 = 301,371.19/x
  3. Step 3: Cross multiply
    145,630.69x = 301,371.19 × 301,371.19
  4. Step 4: Simplify right side
    145,630.69x = 90,824,592,655.16
  5. Step 5: Solve for x
    x = 90,824,592,655.16/145,630.69
  6. Step 6: Final answer
    x = 623,663.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.