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Finding the Third Proportional to 152,668.50 and 326,302.13

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Solution

The third proportional to 152,668.50 and 326,302.13 is: 697,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,668.50 : 326,302.13 = 326,302.13 : x
  2. Step 2: Convert to fraction form
    152,668.50/326,302.13 = 326,302.13/x
  3. Step 3: Cross multiply
    152,668.50x = 326,302.13 × 326,302.13
  4. Step 4: Simplify right side
    152,668.50x = 106,473,076,779.52
  5. Step 5: Solve for x
    x = 106,473,076,779.52/152,668.50
  6. Step 6: Final answer
    x = 697,413.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.