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Finding the Third Proportional to 135,297.84 and 292,275.84

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Solution

The third proportional to 135,297.84 and 292,275.84 is: 631,386.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,297.84 : 292,275.84 = 292,275.84 : x
  2. Step 2: Convert to fraction form
    135,297.84/292,275.84 = 292,275.84/x
  3. Step 3: Cross multiply
    135,297.84x = 292,275.84 × 292,275.84
  4. Step 4: Simplify right side
    135,297.84x = 85,425,168,839.77
  5. Step 5: Solve for x
    x = 85,425,168,839.77/135,297.84
  6. Step 6: Final answer
    x = 631,386.03

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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.