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Finding the Third Proportional to 145,209.94 and 307,726.69

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Solution

The third proportional to 145,209.94 and 307,726.69 is: 652,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,209.94 : 307,726.69 = 307,726.69 : x
  2. Step 2: Convert to fraction form
    145,209.94/307,726.69 = 307,726.69/x
  3. Step 3: Cross multiply
    145,209.94x = 307,726.69 × 307,726.69
  4. Step 4: Simplify right side
    145,209.94x = 94,695,714,199.72
  5. Step 5: Solve for x
    x = 94,695,714,199.72/145,209.94
  6. Step 6: Final answer
    x = 652,129.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.