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Finding the Third Proportional to 165,088.13 and 361,821.94

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Solution

The third proportional to 165,088.13 and 361,821.94 is: 793,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,088.13 : 361,821.94 = 361,821.94 : x
  2. Step 2: Convert to fraction form
    165,088.13/361,821.94 = 361,821.94/x
  3. Step 3: Cross multiply
    165,088.13x = 361,821.94 × 361,821.94
  4. Step 4: Simplify right side
    165,088.13x = 130,915,114,456.25
  5. Step 5: Solve for x
    x = 130,915,114,456.25/165,088.13
  6. Step 6: Final answer
    x = 793,001.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.