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Finding the Third Proportional to 233,307 and 330,070.50

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Solution

The third proportional to 233,307 and 330,070.50 is: 466,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,307 : 330,070.50 = 330,070.50 : x
  2. Step 2: Convert to fraction form
    233,307/330,070.50 = 330,070.50/x
  3. Step 3: Cross multiply
    233,307x = 330,070.50 × 330,070.50
  4. Step 4: Simplify right side
    233,307x = 108,946,534,970.25
  5. Step 5: Solve for x
    x = 108,946,534,970.25/233,307
  6. Step 6: Final answer
    x = 466,966.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.