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Finding the Third Proportional to 155,513 and 228,298

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Solution

The third proportional to 155,513 and 228,298 is: 335,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,513 : 228,298 = 228,298 : x
  2. Step 2: Convert to fraction form
    155,513/228,298 = 228,298/x
  3. Step 3: Cross multiply
    155,513x = 228,298 × 228,298
  4. Step 4: Simplify right side
    155,513x = 52,119,976,804
  5. Step 5: Solve for x
    x = 52,119,976,804/155,513
  6. Step 6: Final answer
    x = 335,148.68

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Why These Related Problems?

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