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Finding the Third Proportional to 155,429 and 228,043

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Solution

The third proportional to 155,429 and 228,043 is: 334,581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,429 : 228,043 = 228,043 : x
  2. Step 2: Convert to fraction form
    155,429/228,043 = 228,043/x
  3. Step 3: Cross multiply
    155,429x = 228,043 × 228,043
  4. Step 4: Simplify right side
    155,429x = 52,003,609,849
  5. Step 5: Solve for x
    x = 52,003,609,849/155,429
  6. Step 6: Final answer
    x = 334,581.13

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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.