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Finding the Third Proportional to 98,250 and 152,403

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Solution

The third proportional to 98,250 and 152,403 is: 236,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,250 : 152,403 = 152,403 : x
  2. Step 2: Convert to fraction form
    98,250/152,403 = 152,403/x
  3. Step 3: Cross multiply
    98,250x = 152,403 × 152,403
  4. Step 4: Simplify right side
    98,250x = 23,226,674,409
  5. Step 5: Solve for x
    x = 23,226,674,409/98,250
  6. Step 6: Final answer
    x = 236,403.81

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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.