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Finding the Third Proportional to 148,807.13 and 351,210.94

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Solution

The third proportional to 148,807.13 and 351,210.94 is: 828,919.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,807.13 : 351,210.94 = 351,210.94 : x
  2. Step 2: Convert to fraction form
    148,807.13/351,210.94 = 351,210.94/x
  3. Step 3: Cross multiply
    148,807.13x = 351,210.94 × 351,210.94
  4. Step 4: Simplify right side
    148,807.13x = 123,349,122,619.63
  5. Step 5: Solve for x
    x = 123,349,122,619.63/148,807.13
  6. Step 6: Final answer
    x = 828,919.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.