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Finding the Third Proportional to 153,372.50 and 314,181.50

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Solution

The third proportional to 153,372.50 and 314,181.50 is: 643,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,372.50 : 314,181.50 = 314,181.50 : x
  2. Step 2: Convert to fraction form
    153,372.50/314,181.50 = 314,181.50/x
  3. Step 3: Cross multiply
    153,372.50x = 314,181.50 × 314,181.50
  4. Step 4: Simplify right side
    153,372.50x = 98,710,014,942.25
  5. Step 5: Solve for x
    x = 98,710,014,942.25/153,372.50
  6. Step 6: Final answer
    x = 643,596.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.