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Finding the Third Proportional to 155,580 and 341,280

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Solution

The third proportional to 155,580 and 341,280 is: 748,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,580 : 341,280 = 341,280 : x
  2. Step 2: Convert to fraction form
    155,580/341,280 = 341,280/x
  3. Step 3: Cross multiply
    155,580x = 341,280 × 341,280
  4. Step 4: Simplify right side
    155,580x = 116,472,038,400
  5. Step 5: Solve for x
    x = 116,472,038,400/155,580
  6. Step 6: Final answer
    x = 748,631.18

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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.