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Finding the Third Proportional to 233,347.50 and 499,851

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Solution

The third proportional to 233,347.50 and 499,851 is: 1,070,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,347.50 : 499,851 = 499,851 : x
  2. Step 2: Convert to fraction form
    233,347.50/499,851 = 499,851/x
  3. Step 3: Cross multiply
    233,347.50x = 499,851 × 499,851
  4. Step 4: Simplify right side
    233,347.50x = 249,851,022,201
  5. Step 5: Solve for x
    x = 249,851,022,201/233,347.50
  6. Step 6: Final answer
    x = 1,070,725.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.