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Finding the Third Proportional to 162,030 and 242,502

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Solution

The third proportional to 162,030 and 242,502 is: 362,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,030 : 242,502 = 242,502 : x
  2. Step 2: Convert to fraction form
    162,030/242,502 = 242,502/x
  3. Step 3: Cross multiply
    162,030x = 242,502 × 242,502
  4. Step 4: Simplify right side
    162,030x = 58,807,220,004
  5. Step 5: Solve for x
    x = 58,807,220,004/162,030
  6. Step 6: Final answer
    x = 362,940.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.