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Finding the Third Proportional to 199,547 and 293,485

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Solution

The third proportional to 199,547 and 293,485 is: 431,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,547 : 293,485 = 293,485 : x
  2. Step 2: Convert to fraction form
    199,547/293,485 = 293,485/x
  3. Step 3: Cross multiply
    199,547x = 293,485 × 293,485
  4. Step 4: Simplify right side
    199,547x = 86,133,445,225
  5. Step 5: Solve for x
    x = 86,133,445,225/199,547
  6. Step 6: Final answer
    x = 431,644.90

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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.