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Finding the Third Proportional to 153,030 and 237,538

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Solution

The third proportional to 153,030 and 237,538 is: 368,713.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,030 : 237,538 = 237,538 : x
  2. Step 2: Convert to fraction form
    153,030/237,538 = 237,538/x
  3. Step 3: Cross multiply
    153,030x = 237,538 × 237,538
  4. Step 4: Simplify right side
    153,030x = 56,424,301,444
  5. Step 5: Solve for x
    x = 56,424,301,444/153,030
  6. Step 6: Final answer
    x = 368,713.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.