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Finding the Third Proportional to 155,368.13 and 235,152.56

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Solution

The third proportional to 155,368.13 and 235,152.56 is: 355,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,368.13 : 235,152.56 = 235,152.56 : x
  2. Step 2: Convert to fraction form
    155,368.13/235,152.56 = 235,152.56/x
  3. Step 3: Cross multiply
    155,368.13x = 235,152.56 × 235,152.56
  4. Step 4: Simplify right side
    155,368.13x = 55,296,727,650.32
  5. Step 5: Solve for x
    x = 55,296,727,650.32/155,368.13
  6. Step 6: Final answer
    x = 355,907.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.