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Finding the Third Proportional to 155,835 and 233,748

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Solution

The third proportional to 155,835 and 233,748 is: 350,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,835 : 233,748 = 233,748 : x
  2. Step 2: Convert to fraction form
    155,835/233,748 = 233,748/x
  3. Step 3: Cross multiply
    155,835x = 233,748 × 233,748
  4. Step 4: Simplify right side
    155,835x = 54,638,127,504
  5. Step 5: Solve for x
    x = 54,638,127,504/155,835
  6. Step 6: Final answer
    x = 350,615.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.