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Finding the Third Proportional to 229,952 and 343,516

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Solution

The third proportional to 229,952 and 343,516 is: 513,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,952 : 343,516 = 343,516 : x
  2. Step 2: Convert to fraction form
    229,952/343,516 = 343,516/x
  3. Step 3: Cross multiply
    229,952x = 343,516 × 343,516
  4. Step 4: Simplify right side
    229,952x = 118,003,242,256
  5. Step 5: Solve for x
    x = 118,003,242,256/229,952
  6. Step 6: Final answer
    x = 513,164.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.