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Finding the Third Proportional to 229,044 and 342,513

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Solution

The third proportional to 229,044 and 342,513 is: 512,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,044 : 342,513 = 342,513 : x
  2. Step 2: Convert to fraction form
    229,044/342,513 = 342,513/x
  3. Step 3: Cross multiply
    229,044x = 342,513 × 342,513
  4. Step 4: Simplify right side
    229,044x = 117,315,155,169
  5. Step 5: Solve for x
    x = 117,315,155,169/229,044
  6. Step 6: Final answer
    x = 512,194.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.