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Finding the Third Proportional to 235,572 and 363,942

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Solution

The third proportional to 235,572 and 363,942 is: 562,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,572 : 363,942 = 363,942 : x
  2. Step 2: Convert to fraction form
    235,572/363,942 = 363,942/x
  3. Step 3: Cross multiply
    235,572x = 363,942 × 363,942
  4. Step 4: Simplify right side
    235,572x = 132,453,779,364
  5. Step 5: Solve for x
    x = 132,453,779,364/235,572
  6. Step 6: Final answer
    x = 562,264.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.