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Finding the Third Proportional to 144,672 and 216,862.50

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Solution

The third proportional to 144,672 and 216,862.50 is: 325,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,672 : 216,862.50 = 216,862.50 : x
  2. Step 2: Convert to fraction form
    144,672/216,862.50 = 216,862.50/x
  3. Step 3: Cross multiply
    144,672x = 216,862.50 × 216,862.50
  4. Step 4: Simplify right side
    144,672x = 47,029,343,906.25
  5. Step 5: Solve for x
    x = 47,029,343,906.25/144,672
  6. Step 6: Final answer
    x = 325,075.65

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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.