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Finding the Third Proportional to 154,263 and 233,038.50

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Solution

The third proportional to 154,263 and 233,038.50 is: 352,041.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,263 : 233,038.50 = 233,038.50 : x
  2. Step 2: Convert to fraction form
    154,263/233,038.50 = 233,038.50/x
  3. Step 3: Cross multiply
    154,263x = 233,038.50 × 233,038.50
  4. Step 4: Simplify right side
    154,263x = 54,306,942,482.25
  5. Step 5: Solve for x
    x = 54,306,942,482.25/154,263
  6. Step 6: Final answer
    x = 352,041.27

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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.