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Finding the Third Proportional to 114,477.50 and 168,287

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Solution

The third proportional to 114,477.50 and 168,287 is: 247,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,477.50 : 168,287 = 168,287 : x
  2. Step 2: Convert to fraction form
    114,477.50/168,287 = 168,287/x
  3. Step 3: Cross multiply
    114,477.50x = 168,287 × 168,287
  4. Step 4: Simplify right side
    114,477.50x = 28,320,514,369
  5. Step 5: Solve for x
    x = 28,320,514,369/114,477.50
  6. Step 6: Final answer
    x = 247,389.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.