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Finding the Third Proportional to 229,341.81 and 518,140.94

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Solution

The third proportional to 229,341.81 and 518,140.94 is: 1,170,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,341.81 : 518,140.94 = 518,140.94 : x
  2. Step 2: Convert to fraction form
    229,341.81/518,140.94 = 518,140.94/x
  3. Step 3: Cross multiply
    229,341.81x = 518,140.94 × 518,140.94
  4. Step 4: Simplify right side
    229,341.81x = 268,470,031,113.38
  5. Step 5: Solve for x
    x = 268,470,031,113.38/229,341.81
  6. Step 6: Final answer
    x = 1,170,610.92

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.