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Finding the Third Proportional to 228,045.38 and 357,733.97

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Solution

The third proportional to 228,045.38 and 357,733.97 is: 561,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,045.38 : 357,733.97 = 357,733.97 : x
  2. Step 2: Convert to fraction form
    228,045.38/357,733.97 = 357,733.97/x
  3. Step 3: Cross multiply
    228,045.38x = 357,733.97 × 357,733.97
  4. Step 4: Simplify right side
    228,045.38x = 127,973,592,397.63
  5. Step 5: Solve for x
    x = 127,973,592,397.63/228,045.38
  6. Step 6: Final answer
    x = 561,176.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.