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Finding the Third Proportional to 162,364.50 and 237,262.50

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Solution

The third proportional to 162,364.50 and 237,262.50 is: 346,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,364.50 : 237,262.50 = 237,262.50 : x
  2. Step 2: Convert to fraction form
    162,364.50/237,262.50 = 237,262.50/x
  3. Step 3: Cross multiply
    162,364.50x = 237,262.50 × 237,262.50
  4. Step 4: Simplify right side
    162,364.50x = 56,293,493,906.25
  5. Step 5: Solve for x
    x = 56,293,493,906.25/162,364.50
  6. Step 6: Final answer
    x = 346,710.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.