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Finding the Third Proportional to 174,898.06 and 278,435.64

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Solution

The third proportional to 174,898.06 and 278,435.64 is: 443,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,898.06 : 278,435.64 = 278,435.64 : x
  2. Step 2: Convert to fraction form
    174,898.06/278,435.64 = 278,435.64/x
  3. Step 3: Cross multiply
    174,898.06x = 278,435.64 × 278,435.64
  4. Step 4: Simplify right side
    174,898.06x = 77,526,406,242.16
  5. Step 5: Solve for x
    x = 77,526,406,242.16/174,898.06
  6. Step 6: Final answer
    x = 443,266.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.