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Finding the Third Proportional to 215,875.13 and 346,646.25

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Solution

The third proportional to 215,875.13 and 346,646.25 is: 556,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,875.13 : 346,646.25 = 346,646.25 : x
  2. Step 2: Convert to fraction form
    215,875.13/346,646.25 = 346,646.25/x
  3. Step 3: Cross multiply
    215,875.13x = 346,646.25 × 346,646.25
  4. Step 4: Simplify right side
    215,875.13x = 120,163,622,639.06
  5. Step 5: Solve for x
    x = 120,163,622,639.06/215,875.13
  6. Step 6: Final answer
    x = 556,634.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.