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Finding the Third Proportional to 157,356 and 249,547.50

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Solution

The third proportional to 157,356 and 249,547.50 is: 395,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,356 : 249,547.50 = 249,547.50 : x
  2. Step 2: Convert to fraction form
    157,356/249,547.50 = 249,547.50/x
  3. Step 3: Cross multiply
    157,356x = 249,547.50 × 249,547.50
  4. Step 4: Simplify right side
    157,356x = 62,273,954,756.25
  5. Step 5: Solve for x
    x = 62,273,954,756.25/157,356
  6. Step 6: Final answer
    x = 395,752.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.