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Finding the Third Proportional to 142,323.50 and 308,023

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Solution

The third proportional to 142,323.50 and 308,023 is: 666,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,323.50 : 308,023 = 308,023 : x
  2. Step 2: Convert to fraction form
    142,323.50/308,023 = 308,023/x
  3. Step 3: Cross multiply
    142,323.50x = 308,023 × 308,023
  4. Step 4: Simplify right side
    142,323.50x = 94,878,168,529
  5. Step 5: Solve for x
    x = 94,878,168,529/142,323.50
  6. Step 6: Final answer
    x = 666,637.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.