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Finding the Third Proportional to 162,456 and 237,347

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Solution

The third proportional to 162,456 and 237,347 is: 346,762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,456 : 237,347 = 237,347 : x
  2. Step 2: Convert to fraction form
    162,456/237,347 = 237,347/x
  3. Step 3: Cross multiply
    162,456x = 237,347 × 237,347
  4. Step 4: Simplify right side
    162,456x = 56,333,598,409
  5. Step 5: Solve for x
    x = 56,333,598,409/162,456
  6. Step 6: Final answer
    x = 346,762.19

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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.