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Finding the Third Proportional to 122,044.13 and 265,776

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Solution

The third proportional to 122,044.13 and 265,776 is: 578,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,044.13 : 265,776 = 265,776 : x
  2. Step 2: Convert to fraction form
    122,044.13/265,776 = 265,776/x
  3. Step 3: Cross multiply
    122,044.13x = 265,776 × 265,776
  4. Step 4: Simplify right side
    122,044.13x = 70,636,882,176
  5. Step 5: Solve for x
    x = 70,636,882,176/122,044.13
  6. Step 6: Final answer
    x = 578,781.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.