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Finding the Third Proportional to 153,406.69 and 328,134.94

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Solution

The third proportional to 153,406.69 and 328,134.94 is: 701,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,406.69 : 328,134.94 = 328,134.94 : x
  2. Step 2: Convert to fraction form
    153,406.69/328,134.94 = 328,134.94/x
  3. Step 3: Cross multiply
    153,406.69x = 328,134.94 × 328,134.94
  4. Step 4: Simplify right side
    153,406.69x = 107,672,537,208.13
  5. Step 5: Solve for x
    x = 107,672,537,208.13/153,406.69
  6. Step 6: Final answer
    x = 701,876.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.