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Finding the Third Proportional to 146,070 and 310,972.50

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Solution

The third proportional to 146,070 and 310,972.50 is: 662,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,070 : 310,972.50 = 310,972.50 : x
  2. Step 2: Convert to fraction form
    146,070/310,972.50 = 310,972.50/x
  3. Step 3: Cross multiply
    146,070x = 310,972.50 × 310,972.50
  4. Step 4: Simplify right side
    146,070x = 96,703,895,756.25
  5. Step 5: Solve for x
    x = 96,703,895,756.25/146,070
  6. Step 6: Final answer
    x = 662,038.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.