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Finding the Third Proportional to 162,084 and 237,867.19

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Solution

The third proportional to 162,084 and 237,867.19 is: 349,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,084 : 237,867.19 = 237,867.19 : x
  2. Step 2: Convert to fraction form
    162,084/237,867.19 = 237,867.19/x
  3. Step 3: Cross multiply
    162,084x = 237,867.19 × 237,867.19
  4. Step 4: Simplify right side
    162,084x = 56,580,798,889.16
  5. Step 5: Solve for x
    x = 56,580,798,889.16/162,084
  6. Step 6: Final answer
    x = 349,083.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.