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Finding the Third Proportional to 191,805 and 293,547

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Solution

The third proportional to 191,805 and 293,547 is: 449,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,805 : 293,547 = 293,547 : x
  2. Step 2: Convert to fraction form
    191,805/293,547 = 293,547/x
  3. Step 3: Cross multiply
    191,805x = 293,547 × 293,547
  4. Step 4: Simplify right side
    191,805x = 86,169,841,209
  5. Step 5: Solve for x
    x = 86,169,841,209/191,805
  6. Step 6: Final answer
    x = 449,257.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.