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Finding the Third Proportional to 153,756 and 233,746

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Solution

The third proportional to 153,756 and 233,746 is: 355,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,756 : 233,746 = 233,746 : x
  2. Step 2: Convert to fraction form
    153,756/233,746 = 233,746/x
  3. Step 3: Cross multiply
    153,756x = 233,746 × 233,746
  4. Step 4: Simplify right side
    153,756x = 54,637,192,516
  5. Step 5: Solve for x
    x = 54,637,192,516/153,756
  6. Step 6: Final answer
    x = 355,349.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.