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Finding the Third Proportional to 238,620.38 and 333,783.13

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Solution

The third proportional to 238,620.38 and 333,783.13 is: 466,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,620.38 : 333,783.13 = 333,783.13 : x
  2. Step 2: Convert to fraction form
    238,620.38/333,783.13 = 333,783.13/x
  3. Step 3: Cross multiply
    238,620.38x = 333,783.13 × 333,783.13
  4. Step 4: Simplify right side
    238,620.38x = 111,411,174,534.77
  5. Step 5: Solve for x
    x = 111,411,174,534.77/238,620.38
  6. Step 6: Final answer
    x = 466,897.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.