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Finding the Third Proportional to 233,155.13 and 360,041.63

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Solution

The third proportional to 233,155.13 and 360,041.63 is: 555,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,155.13 : 360,041.63 = 360,041.63 : x
  2. Step 2: Convert to fraction form
    233,155.13/360,041.63 = 360,041.63/x
  3. Step 3: Cross multiply
    233,155.13x = 360,041.63 × 360,041.63
  4. Step 4: Simplify right side
    233,155.13x = 129,629,971,732.64
  5. Step 5: Solve for x
    x = 129,629,971,732.64/233,155.13
  6. Step 6: Final answer
    x = 555,981.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.