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Finding the Third Proportional to 202,875.22 and 316,595.48

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Solution

The third proportional to 202,875.22 and 316,595.48 is: 494,060.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,875.22 : 316,595.48 = 316,595.48 : x
  2. Step 2: Convert to fraction form
    202,875.22/316,595.48 = 316,595.48/x
  3. Step 3: Cross multiply
    202,875.22x = 316,595.48 × 316,595.48
  4. Step 4: Simplify right side
    202,875.22x = 100,232,698,407.83
  5. Step 5: Solve for x
    x = 100,232,698,407.83/202,875.22
  6. Step 6: Final answer
    x = 494,060.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.