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Finding the Third Proportional to 235,332 and 359,154

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Solution

The third proportional to 235,332 and 359,154 is: 548,126.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,332 : 359,154 = 359,154 : x
  2. Step 2: Convert to fraction form
    235,332/359,154 = 359,154/x
  3. Step 3: Cross multiply
    235,332x = 359,154 × 359,154
  4. Step 4: Simplify right side
    235,332x = 128,991,595,716
  5. Step 5: Solve for x
    x = 128,991,595,716/235,332
  6. Step 6: Final answer
    x = 548,126.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.