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Finding the Third Proportional to 134,746.06 and 293,397.63

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Solution

The third proportional to 134,746.06 and 293,397.63 is: 638,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,746.06 : 293,397.63 = 293,397.63 : x
  2. Step 2: Convert to fraction form
    134,746.06/293,397.63 = 293,397.63/x
  3. Step 3: Cross multiply
    134,746.06x = 293,397.63 × 293,397.63
  4. Step 4: Simplify right side
    134,746.06x = 86,082,166,355.64
  5. Step 5: Solve for x
    x = 86,082,166,355.64/134,746.06
  6. Step 6: Final answer
    x = 638,847.36

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Why These Related Problems?

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