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Finding the Third Proportional to 138,547 and 298,714.25

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Solution

The third proportional to 138,547 and 298,714.25 is: 644,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,547 : 298,714.25 = 298,714.25 : x
  2. Step 2: Convert to fraction form
    138,547/298,714.25 = 298,714.25/x
  3. Step 3: Cross multiply
    138,547x = 298,714.25 × 298,714.25
  4. Step 4: Simplify right side
    138,547x = 89,230,203,153.06
  5. Step 5: Solve for x
    x = 89,230,203,153.06/138,547
  6. Step 6: Final answer
    x = 644,042.84

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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.