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Finding the Third Proportional to 153,223 and 237,804

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Solution

The third proportional to 153,223 and 237,804 is: 369,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,223 : 237,804 = 237,804 : x
  2. Step 2: Convert to fraction form
    153,223/237,804 = 237,804/x
  3. Step 3: Cross multiply
    153,223x = 237,804 × 237,804
  4. Step 4: Simplify right side
    153,223x = 56,550,742,416
  5. Step 5: Solve for x
    x = 56,550,742,416/153,223
  6. Step 6: Final answer
    x = 369,074.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.