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Finding the Third Proportional to 163,595.25 and 346,052.81

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Solution

The third proportional to 163,595.25 and 346,052.81 is: 732,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,595.25 : 346,052.81 = 346,052.81 : x
  2. Step 2: Convert to fraction form
    163,595.25/346,052.81 = 346,052.81/x
  3. Step 3: Cross multiply
    163,595.25x = 346,052.81 × 346,052.81
  4. Step 4: Simplify right side
    163,595.25x = 119,752,549,039.16
  5. Step 5: Solve for x
    x = 119,752,549,039.16/163,595.25
  6. Step 6: Final answer
    x = 732,005.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.