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Finding the Third Proportional to 191,955.50 and 448,588

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Solution

The third proportional to 191,955.50 and 448,588 is: 1,048,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,955.50 : 448,588 = 448,588 : x
  2. Step 2: Convert to fraction form
    191,955.50/448,588 = 448,588/x
  3. Step 3: Cross multiply
    191,955.50x = 448,588 × 448,588
  4. Step 4: Simplify right side
    191,955.50x = 201,231,193,744
  5. Step 5: Solve for x
    x = 201,231,193,744/191,955.50
  6. Step 6: Final answer
    x = 1,048,322.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.