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Finding the Third Proportional to 163,623 and 240,045

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Solution

The third proportional to 163,623 and 240,045 is: 352,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,623 : 240,045 = 240,045 : x
  2. Step 2: Convert to fraction form
    163,623/240,045 = 240,045/x
  3. Step 3: Cross multiply
    163,623x = 240,045 × 240,045
  4. Step 4: Simplify right side
    163,623x = 57,621,602,025
  5. Step 5: Solve for x
    x = 57,621,602,025/163,623
  6. Step 6: Final answer
    x = 352,160.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.