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Finding the Third Proportional to 116,590.13 and 255,043.50

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Solution

The third proportional to 116,590.13 and 255,043.50 is: 557,913.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,590.13 : 255,043.50 = 255,043.50 : x
  2. Step 2: Convert to fraction form
    116,590.13/255,043.50 = 255,043.50/x
  3. Step 3: Cross multiply
    116,590.13x = 255,043.50 × 255,043.50
  4. Step 4: Simplify right side
    116,590.13x = 65,047,186,892.25
  5. Step 5: Solve for x
    x = 65,047,186,892.25/116,590.13
  6. Step 6: Final answer
    x = 557,913.35

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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.