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Finding the Third Proportional to 155,615 and 341,359

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Solution

The third proportional to 155,615 and 341,359 is: 748,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,615 : 341,359 = 341,359 : x
  2. Step 2: Convert to fraction form
    155,615/341,359 = 341,359/x
  3. Step 3: Cross multiply
    155,615x = 341,359 × 341,359
  4. Step 4: Simplify right side
    155,615x = 116,525,966,881
  5. Step 5: Solve for x
    x = 116,525,966,881/155,615
  6. Step 6: Final answer
    x = 748,809.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.