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Finding the Third Proportional to 157,554 and 235,779.75

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Solution

The third proportional to 157,554 and 235,779.75 is: 352,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,554 : 235,779.75 = 235,779.75 : x
  2. Step 2: Convert to fraction form
    157,554/235,779.75 = 235,779.75/x
  3. Step 3: Cross multiply
    157,554x = 235,779.75 × 235,779.75
  4. Step 4: Simplify right side
    157,554x = 55,592,090,510.06
  5. Step 5: Solve for x
    x = 55,592,090,510.06/157,554
  6. Step 6: Final answer
    x = 352,844.68

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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.