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Finding the Third Proportional to 142,924 and 312,506

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Solution

The third proportional to 142,924 and 312,506 is: 683,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,924 : 312,506 = 312,506 : x
  2. Step 2: Convert to fraction form
    142,924/312,506 = 312,506/x
  3. Step 3: Cross multiply
    142,924x = 312,506 × 312,506
  4. Step 4: Simplify right side
    142,924x = 97,660,000,036
  5. Step 5: Solve for x
    x = 97,660,000,036/142,924
  6. Step 6: Final answer
    x = 683,300.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.