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Finding the Third Proportional to 142,752 and 307,428

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Solution

The third proportional to 142,752 and 307,428 is: 662,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,752 : 307,428 = 307,428 : x
  2. Step 2: Convert to fraction form
    142,752/307,428 = 307,428/x
  3. Step 3: Cross multiply
    142,752x = 307,428 × 307,428
  4. Step 4: Simplify right side
    142,752x = 94,511,975,184
  5. Step 5: Solve for x
    x = 94,511,975,184/142,752
  6. Step 6: Final answer
    x = 662,071.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.