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Finding the Third Proportional to 233,206 and 360,115.50

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Solution

The third proportional to 233,206 and 360,115.50 is: 556,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,206 : 360,115.50 = 360,115.50 : x
  2. Step 2: Convert to fraction form
    233,206/360,115.50 = 360,115.50/x
  3. Step 3: Cross multiply
    233,206x = 360,115.50 × 360,115.50
  4. Step 4: Simplify right side
    233,206x = 129,683,173,340.25
  5. Step 5: Solve for x
    x = 129,683,173,340.25/233,206
  6. Step 6: Final answer
    x = 556,088.49

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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.