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Finding the Third Proportional to 152,460 and 404,680.50

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Solution

The third proportional to 152,460 and 404,680.50 is: 1,074,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,460 : 404,680.50 = 404,680.50 : x
  2. Step 2: Convert to fraction form
    152,460/404,680.50 = 404,680.50/x
  3. Step 3: Cross multiply
    152,460x = 404,680.50 × 404,680.50
  4. Step 4: Simplify right side
    152,460x = 163,766,307,080.25
  5. Step 5: Solve for x
    x = 163,766,307,080.25/152,460
  6. Step 6: Final answer
    x = 1,074,159.17

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.