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Finding the Third Proportional to 162,028 and 245,202

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Solution

The third proportional to 162,028 and 245,202 is: 371,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,028 : 245,202 = 245,202 : x
  2. Step 2: Convert to fraction form
    162,028/245,202 = 245,202/x
  3. Step 3: Cross multiply
    162,028x = 245,202 × 245,202
  4. Step 4: Simplify right side
    162,028x = 60,124,020,804
  5. Step 5: Solve for x
    x = 60,124,020,804/162,028
  6. Step 6: Final answer
    x = 371,071.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.