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Finding the Third Proportional to 145,158.75 and 228,106.13

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Solution

The third proportional to 145,158.75 and 228,106.13 is: 358,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,158.75 : 228,106.13 = 228,106.13 : x
  2. Step 2: Convert to fraction form
    145,158.75/228,106.13 = 228,106.13/x
  3. Step 3: Cross multiply
    145,158.75x = 228,106.13 × 228,106.13
  4. Step 4: Simplify right side
    145,158.75x = 52,032,404,262.52
  5. Step 5: Solve for x
    x = 52,032,404,262.52/145,158.75
  6. Step 6: Final answer
    x = 358,451.72

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