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Finding the Third Proportional to 233,304 and 342,298.50

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Solution

The third proportional to 233,304 and 342,298.50 is: 502,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,304 : 342,298.50 = 342,298.50 : x
  2. Step 2: Convert to fraction form
    233,304/342,298.50 = 342,298.50/x
  3. Step 3: Cross multiply
    233,304x = 342,298.50 × 342,298.50
  4. Step 4: Simplify right side
    233,304x = 117,168,263,102.25
  5. Step 5: Solve for x
    x = 117,168,263,102.25/233,304
  6. Step 6: Final answer
    x = 502,212.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.