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Finding the Third Proportional to 144,904.50 and 293,901.88

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Solution

The third proportional to 144,904.50 and 293,901.88 is: 596,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,904.50 : 293,901.88 = 293,901.88 : x
  2. Step 2: Convert to fraction form
    144,904.50/293,901.88 = 293,901.88/x
  3. Step 3: Cross multiply
    144,904.50x = 293,901.88 × 293,901.88
  4. Step 4: Simplify right side
    144,904.50x = 86,378,312,128.52
  5. Step 5: Solve for x
    x = 86,378,312,128.52/144,904.50
  6. Step 6: Final answer
    x = 596,105.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.