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Finding the Third Proportional to 146,020 and 211,010

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Solution

The third proportional to 146,020 and 211,010 is: 304,925.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,020 : 211,010 = 211,010 : x
  2. Step 2: Convert to fraction form
    146,020/211,010 = 211,010/x
  3. Step 3: Cross multiply
    146,020x = 211,010 × 211,010
  4. Step 4: Simplify right side
    146,020x = 44,525,220,100
  5. Step 5: Solve for x
    x = 44,525,220,100/146,020
  6. Step 6: Final answer
    x = 304,925.49

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.