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Finding the Third Proportional to 155,526 and 228,322

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Solution

The third proportional to 155,526 and 228,322 is: 335,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,526 : 228,322 = 228,322 : x
  2. Step 2: Convert to fraction form
    155,526/228,322 = 228,322/x
  3. Step 3: Cross multiply
    155,526x = 228,322 × 228,322
  4. Step 4: Simplify right side
    155,526x = 52,130,935,684
  5. Step 5: Solve for x
    x = 52,130,935,684/155,526
  6. Step 6: Final answer
    x = 335,191.13

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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.