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Finding the Third Proportional to 138,547.13 and 298,728

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Solution

The third proportional to 138,547.13 and 298,728 is: 644,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,547.13 : 298,728 = 298,728 : x
  2. Step 2: Convert to fraction form
    138,547.13/298,728 = 298,728/x
  3. Step 3: Cross multiply
    138,547.13x = 298,728 × 298,728
  4. Step 4: Simplify right side
    138,547.13x = 89,238,417,984
  5. Step 5: Solve for x
    x = 89,238,417,984/138,547.13
  6. Step 6: Final answer
    x = 644,101.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.