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Finding the Third Proportional to 153,530.44 and 333,284.63

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Solution

The third proportional to 153,530.44 and 333,284.63 is: 723,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,530.44 : 333,284.63 = 333,284.63 : x
  2. Step 2: Convert to fraction form
    153,530.44/333,284.63 = 333,284.63/x
  3. Step 3: Cross multiply
    153,530.44x = 333,284.63 × 333,284.63
  4. Step 4: Simplify right side
    153,530.44x = 111,078,641,261.39
  5. Step 5: Solve for x
    x = 111,078,641,261.39/153,530.44
  6. Step 6: Final answer
    x = 723,495.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.