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Finding the Third Proportional to 162,491.63 and 237,718.13

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Solution

The third proportional to 162,491.63 and 237,718.13 is: 347,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,491.63 : 237,718.13 = 237,718.13 : x
  2. Step 2: Convert to fraction form
    162,491.63/237,718.13 = 237,718.13/x
  3. Step 3: Cross multiply
    162,491.63x = 237,718.13 × 237,718.13
  4. Step 4: Simplify right side
    162,491.63x = 56,509,906,953.52
  5. Step 5: Solve for x
    x = 56,509,906,953.52/162,491.63
  6. Step 6: Final answer
    x = 347,771.20

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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.