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Finding the Third Proportional to 162,870 and 249,148.69

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Solution

The third proportional to 162,870 and 249,148.69 is: 381,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,870 : 249,148.69 = 249,148.69 : x
  2. Step 2: Convert to fraction form
    162,870/249,148.69 = 249,148.69/x
  3. Step 3: Cross multiply
    162,870x = 249,148.69 × 249,148.69
  4. Step 4: Simplify right side
    162,870x = 62,075,068,482.97
  5. Step 5: Solve for x
    x = 62,075,068,482.97/162,870
  6. Step 6: Final answer
    x = 381,132.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.