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Finding the Third Proportional to 145,804 and 238,083

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Solution

The third proportional to 145,804 and 238,083 is: 388,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,804 : 238,083 = 238,083 : x
  2. Step 2: Convert to fraction form
    145,804/238,083 = 238,083/x
  3. Step 3: Cross multiply
    145,804x = 238,083 × 238,083
  4. Step 4: Simplify right side
    145,804x = 56,683,514,889
  5. Step 5: Solve for x
    x = 56,683,514,889/145,804
  6. Step 6: Final answer
    x = 388,765.16

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.