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Finding the Third Proportional to 147,814.59 and 228,371.06

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Solution

The third proportional to 147,814.59 and 228,371.06 is: 352,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,814.59 : 228,371.06 = 228,371.06 : x
  2. Step 2: Convert to fraction form
    147,814.59/228,371.06 = 228,371.06/x
  3. Step 3: Cross multiply
    147,814.59x = 228,371.06 × 228,371.06
  4. Step 4: Simplify right side
    147,814.59x = 52,153,342,187.38
  5. Step 5: Solve for x
    x = 52,153,342,187.38/147,814.59
  6. Step 6: Final answer
    x = 352,829.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.