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Finding the Third Proportional to 191,943 and 290,557.13

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Solution

The third proportional to 191,943 and 290,557.13 is: 439,836.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,943 : 290,557.13 = 290,557.13 : x
  2. Step 2: Convert to fraction form
    191,943/290,557.13 = 290,557.13/x
  3. Step 3: Cross multiply
    191,943x = 290,557.13 × 290,557.13
  4. Step 4: Simplify right side
    191,943x = 84,423,442,888.27
  5. Step 5: Solve for x
    x = 84,423,442,888.27/191,943
  6. Step 6: Final answer
    x = 439,836.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.