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Finding the Third Proportional to 178,969.50 and 390,703.50

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Solution

The third proportional to 178,969.50 and 390,703.50 is: 852,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,969.50 : 390,703.50 = 390,703.50 : x
  2. Step 2: Convert to fraction form
    178,969.50/390,703.50 = 390,703.50/x
  3. Step 3: Cross multiply
    178,969.50x = 390,703.50 × 390,703.50
  4. Step 4: Simplify right side
    178,969.50x = 152,649,224,912.25
  5. Step 5: Solve for x
    x = 152,649,224,912.25/178,969.50
  6. Step 6: Final answer
    x = 852,934.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.