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Finding the Third Proportional to 134,641.63 and 291,722.25

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Solution

The third proportional to 134,641.63 and 291,722.25 is: 632,062.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,641.63 : 291,722.25 = 291,722.25 : x
  2. Step 2: Convert to fraction form
    134,641.63/291,722.25 = 291,722.25/x
  3. Step 3: Cross multiply
    134,641.63x = 291,722.25 × 291,722.25
  4. Step 4: Simplify right side
    134,641.63x = 85,101,871,145.06
  5. Step 5: Solve for x
    x = 85,101,871,145.06/134,641.63
  6. Step 6: Final answer
    x = 632,062.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.