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Finding the Third Proportional to 157,528 and 345,675.50

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Solution

The third proportional to 157,528 and 345,675.50 is: 758,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,528 : 345,675.50 = 345,675.50 : x
  2. Step 2: Convert to fraction form
    157,528/345,675.50 = 345,675.50/x
  3. Step 3: Cross multiply
    157,528x = 345,675.50 × 345,675.50
  4. Step 4: Simplify right side
    157,528x = 119,491,551,300.25
  5. Step 5: Solve for x
    x = 119,491,551,300.25/157,528
  6. Step 6: Final answer
    x = 758,541.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.