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Finding the Third Proportional to 235,974 and 373,830

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Solution

The third proportional to 235,974 and 373,830 is: 592,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,974 : 373,830 = 373,830 : x
  2. Step 2: Convert to fraction form
    235,974/373,830 = 373,830/x
  3. Step 3: Cross multiply
    235,974x = 373,830 × 373,830
  4. Step 4: Simplify right side
    235,974x = 139,748,868,900
  5. Step 5: Solve for x
    x = 139,748,868,900/235,974
  6. Step 6: Final answer
    x = 592,221.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.