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Finding the Third Proportional to 199,570 and 293,506

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Solution

The third proportional to 199,570 and 293,506 is: 431,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,570 : 293,506 = 293,506 : x
  2. Step 2: Convert to fraction form
    199,570/293,506 = 293,506/x
  3. Step 3: Cross multiply
    199,570x = 293,506 × 293,506
  4. Step 4: Simplify right side
    199,570x = 86,145,772,036
  5. Step 5: Solve for x
    x = 86,145,772,036/199,570
  6. Step 6: Final answer
    x = 431,656.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.