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Finding the Third Proportional to 187,920 and 290,848.50

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Solution

The third proportional to 187,920 and 290,848.50 is: 450,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,920 : 290,848.50 = 290,848.50 : x
  2. Step 2: Convert to fraction form
    187,920/290,848.50 = 290,848.50/x
  3. Step 3: Cross multiply
    187,920x = 290,848.50 × 290,848.50
  4. Step 4: Simplify right side
    187,920x = 84,592,849,952.25
  5. Step 5: Solve for x
    x = 84,592,849,952.25/187,920
  6. Step 6: Final answer
    x = 450,153.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.