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Finding the Third Proportional to 141,363 and 207,804

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Solution

The third proportional to 141,363 and 207,804 is: 305,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,363 : 207,804 = 207,804 : x
  2. Step 2: Convert to fraction form
    141,363/207,804 = 207,804/x
  3. Step 3: Cross multiply
    141,363x = 207,804 × 207,804
  4. Step 4: Simplify right side
    141,363x = 43,182,502,416
  5. Step 5: Solve for x
    x = 43,182,502,416/141,363
  6. Step 6: Final answer
    x = 305,472.45

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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.