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Finding the Third Proportional to 228,106.13 and 340,291.13

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Solution

The third proportional to 228,106.13 and 340,291.13 is: 507,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,106.13 : 340,291.13 = 340,291.13 : x
  2. Step 2: Convert to fraction form
    228,106.13/340,291.13 = 340,291.13/x
  3. Step 3: Cross multiply
    228,106.13x = 340,291.13 × 340,291.13
  4. Step 4: Simplify right side
    228,106.13x = 115,798,049,753.77
  5. Step 5: Solve for x
    x = 115,798,049,753.77/228,106.13
  6. Step 6: Final answer
    x = 507,649.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.