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Finding the Third Proportional to 139,362 and 209,358

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Solution

The third proportional to 139,362 and 209,358 is: 314,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,362 : 209,358 = 209,358 : x
  2. Step 2: Convert to fraction form
    139,362/209,358 = 209,358/x
  3. Step 3: Cross multiply
    139,362x = 209,358 × 209,358
  4. Step 4: Simplify right side
    139,362x = 43,830,772,164
  5. Step 5: Solve for x
    x = 43,830,772,164/139,362
  6. Step 6: Final answer
    x = 314,510.21

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