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Finding the Third Proportional to 162,931.50 and 340,763.63

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Solution

The third proportional to 162,931.50 and 340,763.63 is: 712,691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,931.50 : 340,763.63 = 340,763.63 : x
  2. Step 2: Convert to fraction form
    162,931.50/340,763.63 = 340,763.63/x
  3. Step 3: Cross multiply
    162,931.50x = 340,763.63 × 340,763.63
  4. Step 4: Simplify right side
    162,931.50x = 116,119,848,123.14
  5. Step 5: Solve for x
    x = 116,119,848,123.14/162,931.50
  6. Step 6: Final answer
    x = 712,691.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.