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Finding the Third Proportional to 261,561.02 and 370,210.71

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Solution

The third proportional to 261,561.02 and 370,210.71 is: 523,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,561.02 : 370,210.71 = 370,210.71 : x
  2. Step 2: Convert to fraction form
    261,561.02/370,210.71 = 370,210.71/x
  3. Step 3: Cross multiply
    261,561.02x = 370,210.71 × 370,210.71
  4. Step 4: Simplify right side
    261,561.02x = 137,055,970,492.85
  5. Step 5: Solve for x
    x = 137,055,970,492.85/261,561.02
  6. Step 6: Final answer
    x = 523,992.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.