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Finding the Third Proportional to 152,646.75 and 233,503.13

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Solution

The third proportional to 152,646.75 and 233,503.13 is: 357,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,646.75 : 233,503.13 = 233,503.13 : x
  2. Step 2: Convert to fraction form
    152,646.75/233,503.13 = 233,503.13/x
  3. Step 3: Cross multiply
    152,646.75x = 233,503.13 × 233,503.13
  4. Step 4: Simplify right side
    152,646.75x = 54,523,709,384.77
  5. Step 5: Solve for x
    x = 54,523,709,384.77/152,646.75
  6. Step 6: Final answer
    x = 357,188.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.