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Finding the Third Proportional to 157,336 and 235,959

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Solution

The third proportional to 157,336 and 235,959 is: 353,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,336 : 235,959 = 235,959 : x
  2. Step 2: Convert to fraction form
    157,336/235,959 = 235,959/x
  3. Step 3: Cross multiply
    157,336x = 235,959 × 235,959
  4. Step 4: Simplify right side
    157,336x = 55,676,649,681
  5. Step 5: Solve for x
    x = 55,676,649,681/157,336
  6. Step 6: Final answer
    x = 353,871.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.