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Finding the Third Proportional to 223,410 and 312,516

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Solution

The third proportional to 223,410 and 312,516 is: 437,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,410 : 312,516 = 312,516 : x
  2. Step 2: Convert to fraction form
    223,410/312,516 = 312,516/x
  3. Step 3: Cross multiply
    223,410x = 312,516 × 312,516
  4. Step 4: Simplify right side
    223,410x = 97,666,250,256
  5. Step 5: Solve for x
    x = 97,666,250,256/223,410
  6. Step 6: Final answer
    x = 437,161.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.