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Finding the Third Proportional to 208,948.50 and 313,420.50

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Solution

The third proportional to 208,948.50 and 313,420.50 is: 470,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,948.50 : 313,420.50 = 313,420.50 : x
  2. Step 2: Convert to fraction form
    208,948.50/313,420.50 = 313,420.50/x
  3. Step 3: Cross multiply
    208,948.50x = 313,420.50 × 313,420.50
  4. Step 4: Simplify right side
    208,948.50x = 98,232,409,820.25
  5. Step 5: Solve for x
    x = 98,232,409,820.25/208,948.50
  6. Step 6: Final answer
    x = 470,127.38

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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.