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Finding the Third Proportional to 191,952 and 448,580.25

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Solution

The third proportional to 191,952 and 448,580.25 is: 1,048,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,952 : 448,580.25 = 448,580.25 : x
  2. Step 2: Convert to fraction form
    191,952/448,580.25 = 448,580.25/x
  3. Step 3: Cross multiply
    191,952x = 448,580.25 × 448,580.25
  4. Step 4: Simplify right side
    191,952x = 201,224,240,690.06
  5. Step 5: Solve for x
    x = 201,224,240,690.06/191,952
  6. Step 6: Final answer
    x = 1,048,305.00

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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.