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Finding the Third Proportional to 153,615 and 319,492.50

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Solution

The third proportional to 153,615 and 319,492.50 is: 664,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,615 : 319,492.50 = 319,492.50 : x
  2. Step 2: Convert to fraction form
    153,615/319,492.50 = 319,492.50/x
  3. Step 3: Cross multiply
    153,615x = 319,492.50 × 319,492.50
  4. Step 4: Simplify right side
    153,615x = 102,075,457,556.25
  5. Step 5: Solve for x
    x = 102,075,457,556.25/153,615
  6. Step 6: Final answer
    x = 664,488.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.